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ORCIDBibTeX records: Marcus Brazil
@article{DBLP:journals/jota/WestcottBR23,
author = {Alexander Westcott and
Marcus Brazil and
Charl J. Ras},
title = {Structural Properties of Minimum Multi-source Multi-Sink Steiner Networks
in the Euclidean Plane},
journal = {J. Optim. Theory Appl.},
volume = {197},
number = {3},
pages = {1104--1139},
year = {2023},
url = {https://doi.org/10.1007/s10957-023-02203-6},
doi = {10.1007/S10957-023-02203-6},
timestamp = {Tue, 12 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jota/WestcottBR23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/networks/AndresThioBRT23,
author = {Nicolau Andr{\'{e}}s{-}Thi{\'{o}} and
Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {Network augmentation for disaster-resilience against geographically
correlated failure},
journal = {Networks},
volume = {81},
number = {4},
pages = {419--444},
year = {2023},
url = {https://doi.org/10.1002/net.22138},
doi = {10.1002/NET.22138},
timestamp = {Thu, 29 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/networks/AndresThioBRT23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/itor/WhittleBGRT22,
author = {David Whittle and
Marcus Brazil and
Peter Alexander Grossman and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Solving the prize-collecting Euclidean Steiner tree problem},
journal = {Int. Trans. Oper. Res.},
volume = {29},
number = {3},
pages = {1479--1501},
year = {2022},
url = {https://doi.org/10.1111/itor.12853},
doi = {10.1111/ITOR.12853},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/itor/WhittleBGRT22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/itor/WhittleBGRT22a,
author = {David Whittle and
Marcus Brazil and
Peter Alexander Grossman and
Joachim Hyam Rubinstein and
Doreen A. Thomas},
title = {Minimum Steiner trees on a set of concyclic points and their center},
journal = {Int. Trans. Oper. Res.},
volume = {29},
number = {4},
pages = {2201--2225},
year = {2022},
url = {https://doi.org/10.1111/itor.13055},
doi = {10.1111/ITOR.13055},
timestamp = {Wed, 23 Feb 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/itor/WhittleBGRT22a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/Andres-ThioBRTV22,
author = {Nicolau Andr{\'{e}}s{-}Thi{\'{o}} and
Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas and
Marcus Volz},
title = {An exact algorithm for constructing minimum Euclidean skeletons of
polygons},
journal = {J. Glob. Optim.},
volume = {83},
number = {1},
pages = {137--162},
year = {2022},
url = {https://doi.org/10.1007/s10898-021-01101-3},
doi = {10.1007/S10898-021-01101-3},
timestamp = {Wed, 18 May 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/Andres-ThioBRTV22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/networks/VolzBRT22,
author = {Marcus Volz and
Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {Simplifying obstacles for Steiner network problems in the plane},
journal = {Networks},
volume = {80},
number = {1},
pages = {77--92},
year = {2022},
url = {https://doi.org/10.1002/net.22080},
doi = {10.1002/NET.22080},
timestamp = {Tue, 28 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/networks/VolzBRT22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/RasBT21,
author = {Charl J. Ras and
Marcus Brazil and
Doreen A. Thomas},
title = {Computational complexity of the 2-connected Steiner network problem
in the \emph{{\(\mathscr{l}\)}}\({}_{\mbox{\emph{p}}}\) plane},
journal = {Theor. Comput. Sci.},
volume = {850},
pages = {168--184},
year = {2021},
url = {https://doi.org/10.1016/j.tcs.2020.11.002},
doi = {10.1016/J.TCS.2020.11.002},
timestamp = {Tue, 29 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcs/RasBT21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cor/GrossmanBRT20,
author = {Peter Alexander Grossman and
Marcus Brazil and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Scheduling the construction of value and discount weighted trees for
maximum net present value},
journal = {Comput. Oper. Res.},
volume = {115},
pages = {104578},
year = {2020},
url = {https://doi.org/10.1016/j.cor.2018.10.018},
doi = {10.1016/J.COR.2018.10.018},
timestamp = {Tue, 22 Feb 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cor/GrossmanBRT20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cor/YarmuchBRT20,
author = {Juan L. Yarmuch and
Marcus Brazil and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Optimum ramp design in open pit mines},
journal = {Comput. Oper. Res.},
volume = {115},
pages = {104739},
year = {2020},
url = {https://doi.org/10.1016/j.cor.2019.06.013},
doi = {10.1016/J.COR.2019.06.013},
timestamp = {Tue, 03 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cor/YarmuchBRT20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jota/VolzBRT20,
author = {Marcus Volz and
Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {Computing Skeletons for Rectilinearly Convex Obstacles in the Rectilinear
Plane},
journal = {J. Optim. Theory Appl.},
volume = {186},
number = {1},
pages = {102--133},
year = {2020},
url = {https://doi.org/10.1007/s10957-020-01690-1},
doi = {10.1007/S10957-020-01690-1},
timestamp = {Thu, 06 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jota/VolzBRT20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ton/SunRBTH20,
author = {Yahui Sun and
Daniel Rehfeldt and
Marcus Brazil and
Doreen A. Thomas and
Saman K. Halgamuge},
title = {A Physarum-Inspired Algorithm for Minimum-Cost Relay Node Placement
in Wireless Sensor Networks},
journal = {{IEEE/ACM} Trans. Netw.},
volume = {28},
number = {2},
pages = {681--694},
year = {2020},
url = {https://doi.org/10.1109/TNET.2020.2971770},
doi = {10.1109/TNET.2020.2971770},
timestamp = {Thu, 20 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ton/SunRBTH20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2004-04365,
author = {Marcus Volz and
Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {Computing skeletons for rectilinearly-convex obstacles in the rectilinear
plane},
journal = {CoRR},
volume = {abs/2004.04365},
year = {2020},
url = {https://arxiv.org/abs/2004.04365},
eprinttype = {arXiv},
eprint = {2004.04365},
timestamp = {Wed, 15 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2004-04365.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/comgeo/BrazilVZRT19,
author = {Marcus Brazil and
Marcus Volz and
Martin Zachariasen and
Charl J. Ras and
Doreen A. Thomas},
title = {New pruning rules for the Steiner tree problem and 2-connected Steiner
network problem},
journal = {Comput. Geom.},
volume = {78},
pages = {37--49},
year = {2019},
url = {https://doi.org/10.1016/j.comgeo.2018.10.003},
doi = {10.1016/J.COMGEO.2018.10.003},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/comgeo/BrazilVZRT19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/networks/BrazilVZRT19,
author = {Marcus Brazil and
Marcus Volz and
Martin Zachariasen and
Charl J. Ras and
Doreen A. Thomas},
title = {Computing minimum 2-edge-connected Steiner networks in the Euclidean
plane},
journal = {Networks},
volume = {73},
number = {1},
pages = {89--103},
year = {2019},
url = {https://doi.org/10.1002/net.21835},
doi = {10.1002/NET.21835},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/networks/BrazilVZRT19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ton/SunBTH19,
author = {Yahui Sun and
Marcus Brazil and
Doreen A. Thomas and
Saman K. Halgamuge},
title = {The Fast Heuristic Algorithms and Post-Processing Techniques to Design
Large and Low-Cost Communication Networks},
journal = {{IEEE/ACM} Trans. Netw.},
volume = {27},
number = {1},
pages = {375--388},
year = {2019},
url = {https://doi.org/10.1109/TNET.2018.2888864},
doi = {10.1109/TNET.2018.2888864},
timestamp = {Thu, 20 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ton/SunBTH19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1902-01939,
author = {Yahui Sun and
Marcus Brazil and
Doreen A. Thomas and
Saman K. Halgamuge},
title = {The Fast Heuristic Algorithms and Post-Processing Techniques to Design
Large and Low-Cost Communication Networks},
journal = {CoRR},
volume = {abs/1902.01939},
year = {2019},
url = {http://arxiv.org/abs/1902.01939},
eprinttype = {arXiv},
eprint = {1902.01939},
timestamp = {Thu, 20 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1902-01939.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1907-03474,
author = {Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas and
G. Xu},
title = {The 2-connected bottleneck Steiner network problem is NP-hard in any
{\unicode{120001}}\({}_{\mbox{p}}\) plane},
journal = {CoRR},
volume = {abs/1907.03474},
year = {2019},
url = {http://arxiv.org/abs/1907.03474},
eprinttype = {arXiv},
eprint = {1907.03474},
timestamp = {Wed, 17 Jul 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1907-03474.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/automatica/KolluriMABHT18,
author = {Ramachandra Rao Kolluri and
Iven Mareels and
Tansu Alpcan and
Marcus Brazil and
Julian de Hoog and
Doreen Anne Thomas},
title = {Stability and active power sharing in droop controlled inverter interfaced
microgrids: Effect of clock mismatches},
journal = {Autom.},
volume = {93},
pages = {469--475},
year = {2018},
url = {https://doi.org/10.1016/j.automatica.2018.03.025},
doi = {10.1016/J.AUTOMATICA.2018.03.025},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/automatica/KolluriMABHT18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/eor/WhittleBGRT18,
author = {David Whittle and
Marcus Brazil and
Peter Alexander Grossman and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Combined optimisation of an open-pit mine outline and the transition
depth to underground mining},
journal = {Eur. J. Oper. Res.},
volume = {268},
number = {2},
pages = {624--634},
year = {2018},
url = {https://doi.org/10.1016/j.ejor.2018.02.005},
doi = {10.1016/J.EJOR.2018.02.005},
timestamp = {Tue, 22 Feb 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/eor/WhittleBGRT18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/KirszenblatSBGR18,
author = {David Kirszenblat and
K. G. Sirinanda and
Marcus Brazil and
Peter Alexander Grossman and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Minimal curvature-constrained networks},
journal = {J. Glob. Optim.},
volume = {72},
number = {1},
pages = {71--87},
year = {2018},
url = {https://doi.org/10.1007/s10898-018-0625-2},
doi = {10.1007/S10898-018-0625-2},
timestamp = {Tue, 22 Feb 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jgo/KirszenblatSBGR18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/smartgridcomm/KolluriHAMABT17,
author = {Ramachandra Rao Kolluri and
Julian de Hoog and
Khalid Abdulla and
Iven Mareels and
Tansu Alpcan and
Marcus Brazil and
Doreen Anne Thomas},
title = {Siting and sizing distributed storage for microgrid applications},
booktitle = {2017 {IEEE} International Conference on Smart Grid Communications,
SmartGridComm 2017, Dresden, Germany, October 23-27, 2017},
pages = {128--133},
publisher = {{IEEE}},
year = {2017},
url = {https://doi.org/10.1109/SmartGridComm.2017.8340686},
doi = {10.1109/SMARTGRIDCOMM.2017.8340686},
timestamp = {Wed, 16 Oct 2019 14:14:53 +0200},
biburl = {https://dblp.org/rec/conf/smartgridcomm/KolluriHAMABT17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dam/BrazilRT16,
author = {Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {An exact algorithm for the bottleneck 2-connected k-Steiner network
problem in L\({}_{\mbox{p}}\) planes},
journal = {Discret. Appl. Math.},
volume = {201},
pages = {47--69},
year = {2016},
url = {https://doi.org/10.1016/j.dam.2015.07.029},
doi = {10.1016/J.DAM.2015.07.029},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dam/BrazilRT16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/SirinandaBGRT16,
author = {K. G. Sirinanda and
Marcus Brazil and
Peter Alexander Grossman and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Gradient-constrained discounted Steiner trees {I:} optimal tree configurations},
journal = {J. Glob. Optim.},
volume = {64},
number = {3},
pages = {497--513},
year = {2016},
url = {https://doi.org/10.1007/s10898-015-0326-z},
doi = {10.1007/S10898-015-0326-Z},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/SirinandaBGRT16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/SirinandaBGRT16a,
author = {K. G. Sirinanda and
Marcus Brazil and
Peter Alexander Grossman and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Gradient-constrained discounted Steiner trees {II:} optimally locating
a discounted Steiner point},
journal = {J. Glob. Optim.},
volume = {64},
number = {3},
pages = {515--532},
year = {2016},
url = {https://doi.org/10.1007/s10898-015-0325-0},
doi = {10.1007/S10898-015-0325-0},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/SirinandaBGRT16a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tsg/HoogABTM16,
author = {Julian de Hoog and
Tansu Alpcan and
Marcus Brazil and
Doreen Anne Thomas and
Iven Mareels},
title = {A Market Mechanism for Electric Vehicle Charging Under Network Constraints},
journal = {{IEEE} Trans. Smart Grid},
volume = {7},
number = {2},
pages = {827--836},
year = {2016},
url = {https://doi.org/10.1109/TSG.2015.2495181},
doi = {10.1109/TSG.2015.2495181},
timestamp = {Sun, 02 Jun 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tsg/HoogABTM16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/chiplay/AndresHKBLWBM16,
author = {Josh Andres and
Julian de Hoog and
J{\"{u}}rg von K{\"{a}}nel and
Julian Berk and
Xuan{-}Bach Dinh Le and
Xizi Wang and
Marcus Brazil and
Florian 'Floyd' Mueller},
editor = {Anna L. Cox and
Phoebe O. Toups Dugas and
Regan L. Mandryk and
Paul A. Cairns and
Vero Vanden Abeele and
Daniel M. Johnson},
title = {Exploring Human: eBike Interaction to Support Rider Autonomy},
booktitle = {Proceedings of the 2016 Annual Symposium on Computer-Human Interaction
in Play, Companion Extended Abstracts, {CHI} {PLAY} 2016, Austin,
TX, USA, October 16 - 19, 2016},
pages = {85--92},
publisher = {{ACM}},
year = {2016},
url = {http://dl.acm.org/citation.cfm?id=2987719},
timestamp = {Thu, 24 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/chiplay/AndresHKBLWBM16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/algorithmica/BrazilRST15,
author = {Marcus Brazil and
Charl J. Ras and
Konrad J. Swanepoel and
Doreen A. Thomas},
title = {Generalised k-Steiner Tree Problems in Normed Planes},
journal = {Algorithmica},
volume = {71},
number = {1},
pages = {66--86},
year = {2015},
url = {https://doi.org/10.1007/s00453-013-9780-5},
doi = {10.1007/S00453-013-9780-5},
timestamp = {Mon, 15 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/algorithmica/BrazilRST15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/SirinandaBGRT15,
author = {K. G. Sirinanda and
Marcus Brazil and
Peter Alexander Grossman and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Maximizing the net present value of a Steiner tree},
journal = {J. Glob. Optim.},
volume = {62},
number = {2},
pages = {391--407},
year = {2015},
url = {https://doi.org/10.1007/s10898-014-0246-3},
doi = {10.1007/S10898-014-0246-3},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/SirinandaBGRT15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/ChangBRT15,
author = {Alan J. Chang and
Marcus Brazil and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Optimal curvature and gradient-constrained directional cost paths
in 3-space},
journal = {J. Glob. Optim.},
volume = {62},
number = {3},
pages = {507--527},
year = {2015},
url = {https://doi.org/10.1007/s10898-014-0243-6},
doi = {10.1007/S10898-014-0243-6},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/ChangBRT15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/aucc/XiaAMBHT15,
author = {Lu Xia and
Tansu Alpcan and
Iven Mareels and
Marcus Brazil and
Julian de Hoog and
Doreen A. Thomas},
title = {Modelling voltage-demand relationship on power distribution grid for
distributed demand management},
booktitle = {2015 5th Australian Control Conference (AUCC), Gold Coast, Australia,
November 5-6, 2015},
pages = {200--205},
publisher = {{IEEE}},
year = {2015},
url = {https://ieeexplore.ieee.org/xpl/freeabs\_all.jsp?arnumber=7361933},
timestamp = {Sun, 08 Aug 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/aucc/XiaAMBHT15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/eenergy/MuenzelHBVK15,
author = {Valentin M{\"{u}}enzel and
Julian de Hoog and
Marcus Brazil and
Arun Vishwanath and
Shivkumar Kalyanaraman},
editor = {Shivkumar Kalyanaraman and
Deva P. Seetharam and
Rajeev Shorey and
Sarvapali D. Ramchurn and
Mani Srivastava},
title = {A Multi-Factor Battery Cycle Life Prediction Methodology for Optimal
Battery Management},
booktitle = {Proceedings of the 2015 {ACM} Sixth International Conference on Future
Energy Systems, e-Energy 2015, Bangalore, India, July 14-17, 2015},
pages = {57--66},
publisher = {{ACM}},
year = {2015},
url = {https://doi.org/10.1145/2768510.2768532},
doi = {10.1145/2768510.2768532},
timestamp = {Fri, 08 Jul 2022 23:03:27 +0200},
biburl = {https://dblp.org/rec/conf/eenergy/MuenzelHBVK15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/arc/MareelsHTBAJMXK14,
author = {Iven Mareels and
Julian de Hoog and
Doreen A. Thomas and
Marcus Brazil and
Tansu Alpcan and
Derek Jayasuriya and
Valentin M{\"{u}}enzel and
Lu Xia and
Ramachandra Rao Kolluri},
title = {On making energy demand and network constraints compatible in the
last mile of the power grid},
journal = {Annu. Rev. Control.},
volume = {38},
number = {2},
pages = {243--258},
year = {2014},
url = {https://doi.org/10.1016/j.arcontrol.2014.09.007},
doi = {10.1016/J.ARCONTROL.2014.09.007},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/arc/MareelsHTBAJMXK14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/eor/BrazilRT14,
author = {Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {A geometric characterisation of the quadratic min-power centre},
journal = {Eur. J. Oper. Res.},
volume = {233},
number = {1},
pages = {34--42},
year = {2014},
url = {https://doi.org/10.1016/j.ejor.2013.09.004},
doi = {10.1016/J.EJOR.2013.09.004},
timestamp = {Mon, 15 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/eor/BrazilRT14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcga/BrazilZ14,
author = {Marcus Brazil and
Martin Zachariasen},
title = {The Uniform Orientation Steiner Tree Problem is NP-Hard},
journal = {Int. J. Comput. Geom. Appl.},
volume = {24},
number = {2},
pages = {87--106},
year = {2014},
url = {https://doi.org/10.1142/S0218195914500046},
doi = {10.1142/S0218195914500046},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ijcga/BrazilZ14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/interfaces/BrazilGRT14,
author = {Marcus Brazil and
Peter Alexander Grossman and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Improving Underground Mine Access Layouts Using Software Tools},
journal = {Interfaces},
volume = {44},
number = {2},
pages = {195--203},
year = {2014},
url = {https://doi.org/10.1287/inte.2013.0691},
doi = {10.1287/INTE.2013.0691},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/interfaces/BrazilGRT14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/networks/BrazilRT14,
author = {Marcus N. Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {A flow-dependent quadratic steiner tree problem in the Euclidean plane},
journal = {Networks},
volume = {64},
number = {1},
pages = {18--28},
year = {2014},
url = {https://doi.org/10.1002/net.21553},
doi = {10.1002/NET.21553},
timestamp = {Mon, 15 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/networks/BrazilRT14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isgt/XiaMABHT14,
author = {Lu Xia and
Iven Mareels and
Tansu Alpcan and
Marcus Brazil and
Julian de Hoog and
Doreen A. Thomas},
title = {A distributed electric vehicle charging management algorithm using
only local measurements},
booktitle = {{IEEE} {PES} Innovative Smart Grid Technologies Conference, {ISGT}
2014, Washington, DC, USA, February 19-22, 2014},
pages = {1--5},
publisher = {{IEEE}},
year = {2014},
url = {https://doi.org/10.1109/ISGT.2014.6816420},
doi = {10.1109/ISGT.2014.6816420},
timestamp = {Wed, 16 Oct 2019 14:14:57 +0200},
biburl = {https://dblp.org/rec/conf/isgt/XiaMABHT14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iet-wss/BrazilRT13,
author = {Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {Relay augmentation for lifetime extension of wireless sensor networks},
journal = {{IET} Wirel. Sens. Syst.},
volume = {3},
number = {2},
year = {2013},
url = {https://doi.org/10.1049/iet-wss.2012.0126},
doi = {10.1049/IET-WSS.2012.0126},
timestamp = {Fri, 18 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iet-wss/BrazilRT13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcga/GrossmanBRT13,
author = {Peter Alexander Grossman and
Marcus Brazil and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Minimal Curvature-Constrained Paths in the Plane with a Constraint
on arcs with Opposite orientations},
journal = {Int. J. Comput. Geom. Appl.},
volume = {23},
number = {3},
pages = {171--196},
year = {2013},
url = {https://doi.org/10.1142/S0218195913500064},
doi = {10.1142/S0218195913500064},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijcga/GrossmanBRT13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/networks/VolzBRST13,
author = {M. G. Volz and
Marcus Brazil and
Charl J. Ras and
Konrad J. Swanepoel and
Doreen A. Thomas},
title = {The Gilbert arborescence problem},
journal = {Networks},
volume = {61},
number = {3},
pages = {238--247},
year = {2013},
url = {https://doi.org/10.1002/net.21475},
doi = {10.1002/NET.21475},
timestamp = {Sat, 05 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/networks/VolzBRST13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1301-4728,
author = {Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {Relay Augmentation for Lifetime Extension of Wireless Sensor Networks},
journal = {CoRR},
volume = {abs/1301.4728},
year = {2013},
url = {http://arxiv.org/abs/1301.4728},
eprinttype = {arXiv},
eprint = {1301.4728},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1301-4728.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BrazilRT13,
author = {Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {Approximating Minimum Steiner Point Trees in Minkowski Planes},
journal = {CoRR},
volume = {abs/1307.2987},
year = {2013},
url = {http://arxiv.org/abs/1307.2987},
eprinttype = {arXiv},
eprint = {1307.2987},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/BrazilRT13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dam/BrazilRT12,
author = {Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {The bottleneck 2-connected k-Steiner network problem for k{\(\leq\)}2},
journal = {Discret. Appl. Math.},
volume = {160},
number = {7-8},
pages = {1028--1038},
year = {2012},
url = {https://doi.org/10.1016/j.dam.2012.01.006},
doi = {10.1016/J.DAM.2012.01.006},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dam/BrazilRT12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/ChangBRT12,
author = {Alan J. Chang and
Marcus Brazil and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Curvature-constrained directional-cost paths in the plane},
journal = {J. Glob. Optim.},
volume = {53},
number = {4},
pages = {663--681},
year = {2012},
url = {https://doi.org/10.1007/s10898-011-9730-1},
doi = {10.1007/S10898-011-9730-1},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/ChangBRT12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jota/BrazilRTWW12,
author = {Marcus Brazil and
J. Hyam Rubinstein and
Doreen A. Thomas and
Jia F. Weng and
Nicholas C. Wormald},
title = {Gradient-Constrained Minimum Networks. {III.} Fixed Topology},
journal = {J. Optim. Theory Appl.},
volume = {155},
number = {1},
pages = {336--354},
year = {2012},
url = {https://doi.org/10.1007/s10957-012-0036-3},
doi = {10.1007/S10957-012-0036-3},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jota/BrazilRTWW12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1210-8139,
author = {J. Scott Provan and
Marcus Brazil and
Doreen A. Thomas and
Jia F. Weng},
title = {Minimum Opaque Covers for Polygonal Regions},
journal = {CoRR},
volume = {abs/1210.8139},
year = {2012},
url = {http://arxiv.org/abs/1210.8139},
eprinttype = {arXiv},
eprint = {1210.8139},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1210-8139.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/aucc/ChangBTR11,
author = {Alan J. Chang and
Marcus Brazil and
Doreen A. Thomas and
J. Hyam Rubinstein},
title = {Optimal curvature-constrained paths with anisotropic costs in the
plane},
booktitle = {2011 Australian Control Conference, {AUCC} 2011, Melbourne, Australia,
November 10-11, 2011},
pages = {112--117},
publisher = {{IEEE}},
year = {2011},
url = {https://ieeexplore.ieee.org/xpl/freeabs\_all.jsp?arnumber=6114343},
timestamp = {Sun, 08 Aug 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/aucc/ChangBTR11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/aucc/Ayala-HoffmannB11,
author = {Jos{\'{e}} Ayala{-}Hoffmann and
Marcus Brazil and
J. Hyam Rubinstein and
Doreen A. Thomas},
title = {Extendibility and path components of admissible paths for the Dubins
problem},
booktitle = {2011 Australian Control Conference, {AUCC} 2011, Melbourne, Australia,
November 10-11, 2011},
pages = {440--444},
publisher = {{IEEE}},
year = {2011},
url = {https://ieeexplore.ieee.org/xpl/freeabs\_all.jsp?arnumber=6114362},
timestamp = {Sun, 08 Aug 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/aucc/Ayala-HoffmannB11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1108-3655,
author = {Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {The bottleneck 2-connected {\textdollar}k{\textdollar}-Steiner network
problem for {\textdollar}k{\textbackslash}leq 2{\textdollar}},
journal = {CoRR},
volume = {abs/1108.3655},
year = {2011},
url = {http://arxiv.org/abs/1108.3655},
eprinttype = {arXiv},
eprint = {1108.3655},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1108-3655.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1111-1464,
author = {Marcus Brazil and
Charl J. Ras and
Konrad J. Swanepoel and
Doreen A. Thomas},
title = {Generalised k-Steiner Tree Problems in Normed Planes},
journal = {CoRR},
volume = {abs/1111.1464},
year = {2011},
url = {http://arxiv.org/abs/1111.1464},
eprinttype = {arXiv},
eprint = {1111.1464},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1111-1464.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1111-2105,
author = {Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {Exact algorithm for the bottleneck 2-connected {\textdollar}k{\textdollar}-Steiner
network problem},
journal = {CoRR},
volume = {abs/1111.2105},
year = {2011},
url = {http://arxiv.org/abs/1111.2105},
eprinttype = {arXiv},
eprint = {1111.2105},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1111-2105.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1111-2109,
author = {Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {A Flow-dependent Quadratic Steiner Tree Problem in the Euclidean Plane},
journal = {CoRR},
volume = {abs/1111.2109},
year = {2011},
url = {http://arxiv.org/abs/1111.2109},
eprinttype = {arXiv},
eprint = {1111.2109},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1111-2109.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/networks/BrazilRT10,
author = {Marcus Brazil and
Charl J. Ras and
Doreen A. Thomas},
title = {Approximating minimum Steiner point trees in Minkowski planes},
journal = {Networks},
volume = {56},
number = {4},
pages = {244--254},
year = {2010},
url = {https://doi.org/10.1002/net.20376},
doi = {10.1002/NET.20376},
timestamp = {Mon, 15 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/networks/BrazilRT10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/comgeo/EgebladNB09,
author = {Jens Egeblad and
Benny K. Nielsen and
Marcus Brazil},
title = {Translational packing of arbitrary polytopes},
journal = {Comput. Geom.},
volume = {42},
number = {4},
pages = {269--288},
year = {2009},
url = {https://doi.org/10.1016/j.comgeo.2008.06.003},
doi = {10.1016/J.COMGEO.2008.06.003},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/comgeo/EgebladNB09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/BrazilZ09,
author = {Marcus Brazil and
Martin Zachariasen},
title = {Steiner trees for fixed orientation metrics},
journal = {J. Glob. Optim.},
volume = {43},
number = {1},
pages = {141--169},
year = {2009},
url = {https://doi.org/10.1007/s10898-008-9305-y},
doi = {10.1007/S10898-008-9305-Y},
timestamp = {Fri, 11 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/BrazilZ09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/networks/BrazilTNWWZ09,
author = {Marcus Brazil and
Doreen A. Thomas and
Benny K. Nielsen and
Pawel Winter and
Christian Wulff{-}Nilsen and
Martin Zachariasen},
title = {A novel approach to phylogenetic trees: \emph{d}-Dimensional geometric
Steiner trees},
journal = {Networks},
volume = {53},
number = {2},
pages = {104--111},
year = {2009},
url = {https://doi.org/10.1002/net.20279},
doi = {10.1002/NET.20279},
timestamp = {Sun, 02 Jun 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/networks/BrazilTNWWZ09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fuin/WengSBT08,
author = {Jia F. Weng and
James MacGregor Smith and
Marcus Brazil and
Doreen A. Thomas},
title = {Equivalence, Indicators, Quasi-indicators and Optimal Steiner Topologies
on Four Points in Space},
journal = {Fundam. Informaticae},
volume = {84},
number = {1},
pages = {135--149},
year = {2008},
url = {http://content.iospress.com/articles/fundamenta-informaticae/fi84-1-10},
timestamp = {Fri, 18 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/fuin/WengSBT08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/BrazilTW08,
author = {Marcus Brazil and
Doreen A. Thomas and
Jia F. Weng},
title = {Gradient-constrained minimum networks {(II).} Labelled or locally
minimal Steiner points},
journal = {J. Glob. Optim.},
volume = {42},
number = {1},
pages = {23--37},
year = {2008},
url = {https://doi.org/10.1007/s10898-007-9201-x},
doi = {10.1007/S10898-007-9201-X},
timestamp = {Fri, 11 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/BrazilTW08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icassp/MorelandeMB08,
author = {Mark R. Morelande and
William Moran and
Marcus Brazil},
title = {Bayesian node localisation in wireless sensor networks},
booktitle = {Proceedings of the {IEEE} International Conference on Acoustics, Speech,
and Signal Processing, {ICASSP} 2008, March 30 - April 4, 2008, Caesars
Palace, Las Vegas, Nevada, {USA}},
pages = {2545--2548},
publisher = {{IEEE}},
year = {2008},
url = {https://doi.org/10.1109/ICASSP.2008.4518167},
doi = {10.1109/ICASSP.2008.4518167},
timestamp = {Sun, 04 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icassp/MorelandeMB08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/itor/ThomasBLW07,
author = {Doreen A. Thomas and
Marcus Brazil and
David H. Lee and
Nicholas C. Wormald},
title = {Network modelling of underground mine layout: two case studies},
journal = {Int. Trans. Oper. Res.},
volume = {14},
number = {2},
pages = {143--158},
year = {2007},
url = {https://doi.org/10.1111/j.1475-3995.2007.00579.x},
doi = {10.1111/J.1475-3995.2007.00579.X},
timestamp = {Thu, 09 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/itor/ThomasBLW07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/networks/BrazilT07,
author = {Marcus Brazil and
Doreen A. Thomas},
title = {Network optimization for the design of underground mines},
journal = {Networks},
volume = {49},
number = {1},
pages = {40--50},
year = {2007},
url = {https://doi.org/10.1002/net.20140},
doi = {10.1002/NET.20140},
timestamp = {Sun, 02 Jun 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/networks/BrazilT07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icon/WangMB07,
author = {Xuezhi Wang and
William Moran and
Marcus Brazil},
title = {Hyperbolic Positioning Using {RIPS} Measurements for Wireless Sensor
Networks},
booktitle = {Proceedings of the 15th {IEEE} International Conference on Networks,
{ICON} 2007, 19-21 November 2007, Adelaide, Australia},
pages = {425--430},
publisher = {{IEEE}},
year = {2007},
url = {https://doi.org/10.1109/ICON.2007.4444124},
doi = {10.1109/ICON.2007.4444124},
timestamp = {Mon, 02 Jul 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/icon/WangMB07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wce/BrazilGLRTW07,
author = {Marcus Brazil and
Peter Alexander Grossman and
David H. Lee and
J. Hyam Rubinstein and
Doreen A. Thomas and
Nicholas C. Wormald},
editor = {Sio Iong Ao and
Leonid Gelman and
David W. L. Hukins and
Andrew Hunter and
Alexander M. Korsunsky},
title = {Constrained Path Optimisation for Underground Mine Layout},
booktitle = {Proceedings of the World Congress on Engineering, {WCE} 2007, London,
UK, 2-4 July, 2007},
series = {Lecture Notes in Engineering and Computer Science},
pages = {856--861},
publisher = {Newswood Limited},
year = {2007},
timestamp = {Tue, 22 Feb 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/wce/BrazilGLRTW07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wce/BrazilMMT07,
author = {Marcus Brazil and
Mark R. Morelande and
William Moran and
Doreen A. Thomas},
editor = {Sio Iong Ao and
Leonid Gelman and
David W. L. Hukins and
Andrew Hunter and
Alexander M. Korsunsky},
title = {Distributed Self-Localisation in Sensor Networks using {RIPS} Measurements},
booktitle = {Proceedings of the World Congress on Engineering, {WCE} 2007, London,
UK, 2-4 July, 2007},
series = {Lecture Notes in Engineering and Computer Science},
pages = {1476--1481},
publisher = {Newswood Limited},
year = {2007},
timestamp = {Thu, 22 Oct 2015 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/wce/BrazilMMT07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/algorithmica/BrazilTWZ06,
author = {Marcus Brazil and
Doreen A. Thomas and
Jia F. Weng and
Martin Zachariasen},
title = {Canonical Forms and Algorithms for Steiner Trees in Uniform Orientation
Metrics},
journal = {Algorithmica},
volume = {44},
number = {4},
pages = {281--300},
year = {2006},
url = {https://doi.org/10.1007/s00453-005-1178-6},
doi = {10.1007/S00453-005-1178-6},
timestamp = {Sun, 02 Jun 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/algorithmica/BrazilTWZ06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dam/BrazilTW06,
author = {Marcus Brazil and
Doreen A. Thomas and
Jia F. Weng},
title = {Locally minimal uniformly oriented shortest networks},
journal = {Discret. Appl. Math.},
volume = {154},
number = {18},
pages = {2545--2564},
year = {2006},
url = {https://doi.org/10.1016/j.dam.2005.04.021},
doi = {10.1016/J.DAM.2005.04.021},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dam/BrazilTW06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/networks/BrazilWZ05,
author = {Marcus Brazil and
Pawel Winter and
Martin Zachariasen},
title = {Flexibility of Steiner trees in uniform orientation metrics},
journal = {Networks},
volume = {46},
number = {3},
pages = {142--153},
year = {2005},
url = {https://doi.org/10.1002/net.20082},
doi = {10.1002/NET.20082},
timestamp = {Thu, 08 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/networks/BrazilWZ05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/comgeo/BrazilNWZ04,
author = {Marcus Brazil and
Benny K. Nielsen and
Pawel Winter and
Martin Zachariasen},
title = {Rotationally optimal spanning and Steiner trees in uniform orientation
metrics},
journal = {Comput. Geom.},
volume = {29},
number = {3},
pages = {251--263},
year = {2004},
url = {https://doi.org/10.1016/j.comgeo.2004.04.001},
doi = {10.1016/J.COMGEO.2004.04.001},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/comgeo/BrazilNWZ04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isaac/BrazilWZ04,
author = {Marcus Brazil and
Pawel Winter and
Martin Zachariasen},
editor = {Rudolf Fleischer and
Gerhard Trippen},
title = {Flexibility of Steiner Trees in Uniform Orientation Metrics},
booktitle = {Algorithms and Computation, 15th International Symposium, {ISAAC}
2004, Hong Kong, China, December 20-22, 2004, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {3341},
pages = {196--208},
publisher = {Springer},
year = {2004},
url = {https://doi.org/10.1007/978-3-540-30551-4\_19},
doi = {10.1007/978-3-540-30551-4\_19},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/isaac/BrazilWZ04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/networks/BrazilTW02,
author = {Marcus Brazil and
Doreen A. Thomas and
Jia F. Weng},
title = {Forbidden subpaths for Steiner minimum networks in uniform orientation
metrics},
journal = {Networks},
volume = {39},
number = {4},
pages = {186--202},
year = {2002},
url = {https://doi.org/10.1002/net.10025},
doi = {10.1002/NET.10025},
timestamp = {Sun, 02 Jun 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/networks/BrazilTW02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jgo/BrazilRTWW01,
author = {Marcus Brazil and
J. Hyam Rubinstein and
Doreen A. Thomas and
Jia F. Weng and
Nicholas C. Wormald},
title = {Gradient-constrained minimum networks. I. Fundamentals},
journal = {J. Glob. Optim.},
volume = {21},
number = {2},
pages = {139--155},
year = {2001},
url = {https://doi.org/10.1023/A:1011903210297},
doi = {10.1023/A:1011903210297},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jgo/BrazilRTWW01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jco/BrazilTW00,
author = {Marcus Brazil and
Doreen A. Thomas and
Jia F. Weng},
title = {On the Complexity of the Steiner Problem},
journal = {J. Comb. Optim.},
volume = {4},
number = {2},
pages = {187--195},
year = {2000},
url = {https://doi.org/10.1023/A:1009846620554},
doi = {10.1023/A:1009846620554},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jco/BrazilTW00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamcomp/BrazilTW00,
author = {Marcus Brazil and
Doreen A. Thomas and
Jia F. Weng},
title = {Minimum Networks in Uniform Orientation Metrics},
journal = {{SIAM} J. Comput.},
volume = {30},
number = {5},
pages = {1579--1593},
year = {2000},
url = {https://doi.org/10.1137/S0097539798347190},
doi = {10.1137/S0097539798347190},
timestamp = {Sat, 27 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamcomp/BrazilTW00.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/networks/BrazilTW99,
author = {Marcus Brazil and
Doreen A. Thomas and
Jia F. Weng},
title = {A polynomial time algorithm for rectilinear Steiner trees with terminals
constrained to curves},
journal = {Networks},
volume = {33},
number = {2},
pages = {145--155},
year = {1999},
url = {https://doi.org/10.1002/(SICI)1097-0037(199903)33:2\&\#60;145::AID-NET5\&\#62;3.0.CO;2-N},
doi = {10.1002/(SICI)1097-0037(199903)33:2\&\#60;145::AID-NET5\&\#62;3.0.CO;2-N},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/networks/BrazilTW99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jct/BrazilRTWW97a,
author = {Marcus Brazil and
J. Hyam Rubinstein and
Doreen A. Thomas and
Jia F. Weng and
Nicholas C. Wormald},
title = {Full Minimal Steiner Trees on Lattice Sets},
journal = {J. Comb. Theory, Ser. {A}},
volume = {78},
number = {1},
pages = {51--91},
year = {1997},
url = {https://doi.org/10.1006/jcta.1996.2752},
doi = {10.1006/JCTA.1996.2752},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jct/BrazilRTWW97a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jct/BrazilRTWW97,
author = {Marcus Brazil and
J. Hyam Rubinstein and
Doreen A. Thomas and
Jia F. Weng and
Nicholas C. Wormald},
title = {Minimal Steiner Trees for Rectangular Arrays of Lattice Points},
journal = {J. Comb. Theory, Ser. {A}},
volume = {79},
number = {2},
pages = {181--208},
year = {1997},
url = {https://doi.org/10.1006/jcta.1996.2751},
doi = {10.1006/JCTA.1996.2751},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jct/BrazilRTWW97.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/dimacs/BrazilTW97,
author = {Marcus Brazil and
Doreen A. Thomas and
Jia F. Weng},
editor = {Panos M. Pardalos and
Ding{-}Zhu Du},
title = {Gradient-constrained minimal Steiner trees},
booktitle = {Network Design: Connectivity and Facilities Location, Proceedings
of a {DIMACS} Workshop, Princetin, New Jersey, USA, April 28-30, 1997},
series = {{DIMACS} Series in Discrete Mathematics and Theoretical Computer Science},
volume = {40},
pages = {23--38},
publisher = {{DIMACS/AMS}},
year = {1997},
url = {https://doi.org/10.1090/dimacs/040/03},
doi = {10.1090/DIMACS/040/03},
timestamp = {Mon, 22 May 2023 16:07:35 +0200},
biburl = {https://dblp.org/rec/conf/dimacs/BrazilTW97.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/dimacs/BrazilRTWW97,
author = {Marcus Brazil and
J. Hyam Rubinstein and
Doreen A. Thomas and
Jia F. Weng and
Nicholas C. Wormald},
editor = {Panos M. Pardalos and
Ding{-}Zhu Du},
title = {Shortest networks on spheres},
booktitle = {Network Design: Connectivity and Facilities Location, Proceedings
of a {DIMACS} Workshop, Princetin, New Jersey, USA, April 28-30, 1997},
series = {{DIMACS} Series in Discrete Mathematics and Theoretical Computer Science},
volume = {40},
pages = {453--461},
publisher = {{DIMACS/AMS}},
year = {1997},
url = {https://doi.org/10.1090/dimacs/040/26},
doi = {10.1090/DIMACS/040/26},
timestamp = {Thu, 09 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/dimacs/BrazilRTWW97.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jct/BrazilCRTWW96,
author = {Marcus Brazil and
T. Cole and
J. Hyam Rubinstein and
Doreen A. Thomas and
Jia F. Weng and
Nicholas C. Wormald},
title = {Minimal Steiner Trees for 2\({}^{\mbox{k}}\){\texttimes}2\({}^{\mbox{k}}\)
Square Lattices},
journal = {J. Comb. Theory, Ser. {A}},
volume = {73},
number = {1},
pages = {91--110},
year = {1996},
url = {https://doi.org/10.1006/jcta.1996.0004},
doi = {10.1006/JCTA.1996.0004},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jct/BrazilCRTWW96.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijac/Brazil91,
author = {Marcus Brazil},
title = {Monoid Growth Functions for Braid Groups},
journal = {Int. J. Algebra Comput.},
volume = {1},
number = {2},
pages = {201--206},
year = {1991},
url = {https://doi.org/10.1142/S0218196791000122},
doi = {10.1142/S0218196791000122},
timestamp = {Tue, 25 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijac/Brazil91.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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