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Discrete Mathematics, Volume 349
Volume 349, Number 1, 2026
- Vladimir N. Potapov, Anna A. Taranenko

:
Asymptotic bounds on the numbers of vertices of polytopes of polystochastic matrices. 114653 - Yongjiang Wu, Yongtao Li, Lihua Feng, Jiuqiang Liu, Guihai Yu:

Maximal intersecting families revisited. 114654 - Ying Wang

, Xiwang Cao
:
A generalization of the MacWilliams identity for linear error-block codes. 114655 - Michael A. Henning

, Nader Jafari Rad
:
New probabilistic upper bounds on the domination number of a graph: II. 114656 - Kun Cheng, Yurui Tang, Xingzhi Zhan:

Sparse graphs with an independent or foresty minimum vertex cut. 114658 - B. Afshari, M. Afshari:

Eccentricity and algebraic connectivity of graphs. 114663 - Jian Zheng, Hong-Hai Li

, Li Su:
A signless Laplacian spectral Erdős-Stone-Simonovits theorem. 114665 - Yang Chen

, Xuanrui Hu:
Spectra and eigenspaces of non-normal Cayley graphs. 114666 - Ryan Jeong

:
Bipartite friends and strangers walking on bipartite graphs. 114667 - Ivan I. Kyrchei

, Eran Treister, Volodymyr O. Pelykh:
The determinant of the adjacency matrix of a quaternion unit gain graph. 114659 - Mohammed Rahmani

, Abderrahmane Nitaj, M'hammed Ziane:
A novel cryptanalytic attack on a family of RSA-like cryptosystems. 114660 - Lijun Ji, Dehai Liu

, Kaishun Wang, Tian Yao
, Shuhui Yu:
s-almost t-intersecting families for vector spaces. 114661 - Bobo Hua, Alexander D. Mednykh, Ilya A. Mednykh, Lili Wang:

On the complexity of Cayley graphs on a dihedral group. 114662 - Minjia Shi, Xiaoxiao Li

, Denis S. Krotov:
Triangle decompositions of PG(n - 1,2). 114664 - Shamil Asgarli, Dragos Ghioca, Chi Hoi Yip

:
Proportion of blocking curves in a pencil. 114668 - Tianhan Dai, Yuchen Ding

, Hui Wang:
Note on a conjecture of Ramírez Alfonsín and Skałba. 114671 - Endre Boros, Vladimir Gurvich, Martin Milanic

, Dmitry Tikhanovsky, Yushi Uno:
Conformality of minimal transversals of maximal cliques. 114657 - Lantao Zou, Lihua Feng, Yongtao Li:

Spectral extremal problems for non-bipartite graphs without odd cycles. 114670 - Loujun Yu, Yuejian Peng:

A spectral generalized Erdős-Gallai theorem. 114672 - Xilong Yin, Dan Li:

Spectral extremal problems on outerplanar and planar graphs. 114673 - Xinying Hua, Yuejian Peng:

Minimum bull-saturated graphs. 114674 - Masaaki Harada:

Ternary near-extremal self-dual codes of lengths 36, 48 and 60. 114675 - Ramin Javadi

, Meysam Miralaei:
A conjecture on rainbow Hamiltonian cycle decomposition. 114676 - Yan Zhou Zhu

:
Symmetric covers and pseudocovers of complete graphs. 114677 - Hongwei Zhu

, Shitao Li, Minjia Shi, Shu-Tao Xia, Patrick Solé:
Some bounds on the cardinality of the b-symbol weight spectrum of codes. 114678 - Binbin Pang, Haifeng Yu, Shixin Zhu, Xiaoshan Kai:

A class of negacyclic BCH codes and its dual. 114679 - Lijun Ji, Ruizhong Wei

, Liying Yu:
On optimal placement delivery arrays. 114680 - Dan Li, Philip B. Zhang

:
Distributions of mesh patterns of short lengths on king permutations. 114681 - Jing-Ru Pang, Lian-Ying Miao, Yi-Zheng Fan:

On odd and strong odd colorings of graphs. 114683 - Tony Zeng:

Graph decomposition via edge edits into a union of regular graphs. 114686 - Cornelia A. Van Cott

, Qiyu Zhang:
The change-making problem for six coin values and beyond. 114669 - Shuo Li:

The characteristic sequence of the integers that are the sum of two squares is not morphic. 114685 - Michael Gonzalez, Rosa Orellana, Mario Tomba:

The chromatic symmetric function in the star-basis. 114691 - Yuyu An, Ervin Györi, Binlong Li:

The anti-Ramsey numbers of cliques in complete multi-partite graphs. 114692 - Aseem Dalal, Jessica McDonald, Songling Shan

:
A reduction of the "cycles plus K4's" problem. 114696 - Miriam Goetze, Torsten Ueckerdt:

The r-dynamic chromatic number is bounded in the strong 2-coloring number. 114697 - Laure Morelle

, Ignasi Sau, Dimitrios M. Thilikos:
Vertex identification to a forest. 114699 - Jia Zhou, Jørgen Bang-Jensen, Jin Yan:

On the k-linkage problem for generalizations of semicomplete digraphs. 114700 - Wei Meng, Qiaoping Guo, Ruixia Wang:

Chorded edge pancyclicity and chorded vertex pancyclicity with the distance two degree condition. 114701 - Vincent Guingona, Felix Nusbaum, Zain Padamsee, Miriam Parnes, Christian Pippin, Ava Zinman:

Indivisibility for classes of graphs. 114703 - Gal Gross:

Linear independence over naturally-ordered semirings with applications to dimension arguments in extremal combinatorics. 114705 - Colin Cooper

, Tomasz Radzik
, Takeharu Shiraga:
Discrete incremental voting on expanders. 114708 - David Guan, Ervin Györi, Diep Luong-Le, Felicia Wang, Mengyuan Yang:

The planar Turán number of Θ6-graphs. 114709 - Qianlin Yao, Yuling Lan, Jiachang Ye, Haiying Shan

:
Which Laplacian cospectral graphs have the same degree sequences? 114720 - Peter Johnson, Celalettin Kaya

, Ryan W. Matzke:
Babai numbers and Babai spectra of paths and cycles. 114721
Volume 349, Number 2, 2026
- Richard Ehrenborg

:
Cyclotomic enumeration of polynomials. 114688 - Lily Chen, Kecai Deng

, Chenghao Nan, Yi Tan, Xiangqian Zhou:
On the (1,25)-packing edge-colorings of claw-free subcubic graphs. 114693 - Chunmeng Liu

, Changjiang Bu:
A tensor's spectral bound on the clique number. 114694 - Jing Gao, Xueliang Li:

Spectral radius of graphs of given size with a forbidden fan graph F6. 114695 - Peter Borg

:
Isolation of regular graphs, stars and k-chromatic graphs. 114706 - Jin Cai, Bo Zhou:

Eigenvalue conditions implying edge-disjoint spanning trees and a forest with constraints. 114710 - Sira Busch, Hendrik Van Maldeghem:

A characterisation of lines in finite Lie incidence geometries of classical type. 114711 - Zenan Du, Lihua You, Hechao Liu:

Further results on signed graphs with exactly two distinct main eigenvalues. 114712 - Meysam Miralaei, Ali Mohammadian, Behruz Tayfeh-Rezaie:

Bootstrap percolation on the Hamming graphs. 114713 - Zhen-Yu Gao, Larry X. W. Wang:

Laguerre inequalities for plane partition. 114714 - Bruce E. Sagan:

Generalized Euler numbers and ordered set partitions. 114715 - Vladislav V. Kabanov

:
Construction of divisible design graphs using affine designs. 114717 - Yixin Cao

, Guiqiang Mou, Jianxin Wang:
On well (edge) dominated and equimatchable strong product graphs. 114718 - Giulio Cerbai, Anders Claesson, Bruce E. Sagan:

Modified difference ascent sequences and Fishburn structures. 114719 - Hanglong Zhang, Xiwang Cao, Gaojun Luo:

Constructions of LCD codes from their Schur products. 114722 - Leandro Aurichi, Paulo Magalhães Júnior, Luisa Seixas:

Limits of cycles and cover conjectures. 114724 - Na Yang, Jian-Hua Yin:

On the strict Chvátal-condition and nowhere-zero 3-flows. 114728 - Andrea Jiménez

, Kolja B. Knauer, Carla Negri Lintzmayer, Martín Matamala, Juan Pablo Peña
, Daniel Quiroz, Maycon Sambinelli, Yoshiko Wakabayashi, Weiqiang Yu, José Zamora
:
Boundedness for proper conflict-free and odd colorings. 114730 - Luan Chen

, Yitong He
, David G. L. Wang:
Clocks are e-positive. 114723 - Yanan Chu, Genghua Fan, Chuixiang Zhou

:
Gallai's conjecture and the path number of odd semi-cliques. 114725 - Melvyn B. Nathanson

:
Q-independence and the construction of B-sets of integers and lattice points. 114726 - Sihem Mesnager, Rameez Raja:

On order ideals in orbit codes of finite Abelian groups: Results and impacts. 114727 - Bin Chen

, Xinmin Hou:
The dichromatic number of digraphs without induced subdigraphs. 114729 - Eiichi Bannai, Hirotake Kurihara

, Hiroshi Nozaki:
On the existence and non-existence of spherical m-stiff configurations. 114731 - Hengzhe Li, Zhiwei Ding, Jianbing Liu

, Hong-Jian Lai:
Diameter two orientability of mixed graphs. 114732 - Lidong Wang, Qi Feng, Pinpin Zhou, Aixin Chen, Zihong Tian:

Maximum group divisible packings with block size four. 114733 - Xueliang Li, Ruiling Zheng:

On the relationship between (Af)α-spectral radii of graphs with starlike branch tree or bouquet branch graph and its linearly order. 114734 - Bin Zheng, Shixin Zhu:

Four families of squares of BCH codes and their complements. 114736 - Jaeseong Jeong

, Namhun Koo
, Soonhak Kwon
:
The second-order zero differential uniformity of the swapped inverse functions over finite fields. 114738 - Javad B. Ebrahimi

, Babak Ghanbari:
Fractional forcing number of graphs. 114739 - Dan Zeng, Yunge Xu, Lisha Li, Xianping Liu, Xiangyong Zeng:

The cycle structure of a class of permutation binomials. 114740 - Nishu Kumari, Anna Stokke:

Murnaghan-Nakayama rules for symplectic, orthogonal and orthosymplectic Schur functions. 114741 - Yongjiang Wu, Weijun Liu, Lihua Feng, Xiaoqian Zhang:

Splitting fields of Schreier digraphs and t-Cayley hypergraphs. 114742 - Dibyayan Chakraborty

, Jérémie Chalopin, Florent Foucaud, Yann Vaxès:
Isometric path complexity of graphs. 114743 - Zengzhao Xu, Weige Xi, Ligong Wang:

Ordering digraphs with given maximum outdegree by their A spectral radius. 114744 - Alexandr Valyuzhenich:

An upper bound on the number of relevant variables for Boolean functions on the Hamming graph. 114745 - Alexander Clow

, Ladislav Stacho:
Oriented colouring graphs of bounded degree and degeneracy. 114746 - Leila Parsaei-Majd

:
Correlation clustering for general graphs. 114747 - Deepak Bal

, Louis DeBiasio, Ella Oren-Dahan:
On the multicolor Ramsey numbers of balanced double stars. 114748 - Tonghui Zhang, Pinhui Ke

, Zuling Chang:
The b-symbol weight hierarchies of two families of cyclic codes over Fq. 114749 - Indibar Debnath, Habibul Islam, Edgar Martínez-Moro, Om Prakash

:
Galois hulls of constacyclic codes over affine algebra rings. 114750 - Yusuke Suzuki

:
Cubical flips in quadrangulations of closed surfaces. 114752 - Wenxiu Ding, Dan Li, Yu Wang:

Extremal spectral radius and g-good r-component connectivity. 114753 - Keenan Calhoun, Yesim Demiroglu Karabulut

, Vincent Pigno, Craig Timmons:
Chromatic and achromatic numbers of unitary addition Cayley graphs. 114735 - Zhandong Dai, Jianying Fang:

The idempotent of a class of p-ary BCH codes. 114751 - Qian-Qian Chen, Ji-Ming Guo:

The multiplicity of nonzero eigenvalues and the induced matching number of a graph. 114762 - Yuchen Ding

, Yu-Chen Sun, Li-Yuan Wang, Yutong Xia:
A note on additive complements of the squares. 114763 - Jingchao Lai, Tianlong Ma, Weigen Yan:

The Turán number of vertex disjoint paths of lengths one and two. 114764 - Yaqian Wang, Danyi Li, Weigen Yan:

Resistance distance in blowup graphs. 114765 - Jing Zeng, Lihua You:

On determinants of tournaments and the characterization of D5. 114766 - Yu Hin Au, Nathan Lindzey, Levent Tunçel:

On connections between association schemes and analyses of polyhedral and positive semidefinite lift-and-project relaxations. 114767 - Mengjiao Rao, Qinghou Zeng:

Minimum bisections of graphs without even cycles. 114768 - Siyue Liu, Hong Wang:

Directed cycle factors with given arcs and lengths. 114769 - Yanbo Zhang, Yaojun Chen:

Ramsey goodness of fans. 114771 - Junpeng Zhou, Xiying Yuan:

Linear Turán problems with bounded matching number in hypergraphs. 114772 - Liangdong Fan, Liying Kang, Jiadong Wu:

On spectral radius of planar graphs with fixed size. 114774 - Yuanyuan Chen, Xiaofeng Gu, Huiqiu Lin:

Generalized toughness and spectral radius of graphs. 114776
Volume 349, Number 3, 2026
- Sean Longbrake, Juvaria Tariq:

Some cases of the Erdős-Lovász Tihany conjecture for claw-free graphs. 114770 - Gabriela Araujo-Pardo

, Lydia Mirabel Mendoza-Cadena
:
A note on mixed cages of girth 5. 114773 - Aida Abiad, Nils van de Berg, Robin Simoens:

Counting cospectral graphs obtained via switching. 114775 - Huy Tài Hà, Takayuki Hibi:

Vertex connectivity of chordal graphs. 114777 - Sakineh Rahbariyan:

The complexity of power graph associated with finite p-groups. 114778 - Gal Yehuda, Amir Yehudayoff:

A LYM inequality for product measures. 114779 - Philipp Kindermann

, Jan Kratochvíl, Giuseppe Liotta, Pavel Valtr:
Three edge-disjoint plane spanning paths in a point set. 114780 - Min Tang, Shi-Qiang Chen

:
Dense maximal asymptotic nonbases of order two. 114781 - Michael Dougherty

, Kaiyi Fang, Yunting Jiang, Edgar Lin, Lucas Lindenmuth, Eleanor Pokras, Gina Root:
Noncrossing partitions from cones and semicircles. 114782 - Jun Yan

:
Lattice paths enumerations weighted by ascent lengths. 114783 - Ross G. Pinsky:

Longest subsequence for certain repeated up/down patterns in random permutations avoiding a pattern of length three. 114784 - Zilong Yan, Bingqing Yang, Yuejian Peng:

A spectral generalized Alon-Frankl theorem. 114785 - Iliyas Noman, Yuan Yao:

Spectral conditions for spherical 2-distance sets. 114795 - Changchang Dong, Hong Yang, Jixiang Meng, Juan Liu:

Sufficient conditions for closed-trailable in digraphs. 114796 - Dein Wong, Wenhao Zhen, Songnian Xu:

Characterization of trees with Laplacian eigenvalue multiplicity one less than the number of pendant vertices. 114799 - Masaki Kashima, Riste Skrekovski, Rongxing Xu:

Proper conflict-free degree-choosability of outerplanar graphs. 114800 - Stijn Cambie, Ervin Györi, Nika Salia

, Casey Tompkins, James Tuite
:
The maximum Wiener index of a uniform hypergraph. 114797 - Florian Lehner, Farzad Maghsoudi, Babak Miraftab:

Hamiltonicity of transitive graphs whose automorphism group has Zp as commutator subgroups. 114798 - Zilong Yan, Xiaoli Yuan, Yuejian Peng:

An improved result on the stability of odd cycles. 114801 - Yiduo Xu, Zhen He

, Mei Lu:
Partite saturation number of cycles. 114802 - Tingyan Ma, Ligong Wang:

Distance spectral conditions for ID-factor-criticality and fractional [a,b]-factor of graphs. 114803 - Imran Allie:

Resistance, oddness and colouring defect of snarks. 114804 - Fateme Sadat Seiedali, Zeinab Akhlaghi

, Behrooz Khosravi:
Generalized Cayley graphs and perfect code. 114805 - Hongzhang Chen, Jianxi Li, Shou-Jun Xu

:
Toughness, Hamiltonicity and eigenvalues of graphs. 114806 - Xia Liu, Miao Wang, Shuo Zhang:

Hamiltonian claw-free graphs with path-type local degree conditions. 114807 - Chính T. Hoàng:

On the structure of perfectly divisible graphs. 114809 - Zoltán L. Blázsik

, Nathan W. Lemons:
The connection between the chromatic numbers of a hypergraph and its 1-intersection graph. 114810 - Jesús Arturo Jiménez González

, Andrzej Mróz:
Bidirected graphs, integral quadratic forms and some Diophantine equations. 114811 - Kevin Knight:

Collatz high cycles do not exist. 114812 - Sarah Blackwell

, Puttipong Pongtanapaisan, Hanh Vo:
Bridge indices of spatial graphs and diagram colorings. 114813 - Shiyu Cao, Jing Chen, Wei Zheng:

On minimally t-tough graphs with t ≤ 1. 114814 - Kevin Liu

:
The flip graph on planar layouts of a planar tanglegram is almost a hypercube. 114815 - Rafal Kalinowski, Monika Pilsniak, Magdalena Prorok

:
Distinguishing symmetric digraphs by proper arc-colourings of type I. 114816 - Shun-ichi Maezawa, Akira Saito:

Preorder induced by rainbow forbidden subgraphs. 114817 - Xiangwen Li

, Lin Niu, Fangyu Tian:
On the strong Bordeaux Conjecture. 114818 - Richter Jordaan:

Ideally connected cographs and chordal graphs. 114819 - Na Chen, Hongxi Liu:

A diameter bound for 4-edge-connected C4-free graphs. 114821 - Jie Zhang, Jin Yan:

A new result on disjoint cycles in graphs. 114823 - Anwita Bhowmik, Bart De Bruyn, Sergey Goryainov

:
Divisible design graphs with selfloops. 114824 - Raul Lopes, Ignasi Sau:

Constant congestion linkages in polynomially strong digraphs in polynomial time. 114808 - Binlong Li, Yufeng Pan, Lingjuan Shi:

A note on two cycles of consecutive even lengths in graphs. 114820 - Felix Christian Clemen:

Applications of sparse hypergraph colorings. 114822 - Paula M. S. Fialho, Emanuel Juliano, Aldo Procacci

:
On the zero-free region for the chromatic polynomial of graphs with maximum degree Δ and girth g. 114825 - Dipayan Chakraborty

, Florent Foucaud, Michael A. Henning, Tuomo Lehtilä
:
Identifying codes in graphs of given maximum degree: Characterizing trees. 114826 - Ján Mazák, Jozef Rajník

, Martin Skoviera:
Strictly critical snarks with girth or cyclic connectivity equal to 6. 114827 - Tianyi Tao

:
The nonrepetitive coloring of grids. 114828 - Xiaoxue Hu, Jiangxu Kong, Wei-Fan Wang, Wanshun Yang:

A note on the r-hued coloring of planar graphs. 114829 - Yanan Chu, Yan Wang:

Path decompositions of Eulerian graphs. 114830 - Fábio Botler

, Luiz Moreira, João Pedro de Souza:
Ramsey goodness of paths versus unbalanced graphs. 114831 - Steve Kirkland, Hermie Monterde

:
Quantum walks on join graphs. 114832 - Feihu Liu

, Guoce Xin, Zihao Zhang:
Order polytopes of dimension ≤13 are Ehrhart positive. 114833 - William Zhao

:
Stack-sorting with stacks avoiding vincular patterns. 114834 - Longfei Fang, Huiqiu Lin:

Spectral extremal results on edge blow-up of graphs. 114835 - Ethan Y. H. Li, Luyi Li, Ping Li

:
Transversals in a collection of stars or generic trees. 114836 - Pierre Hoppenot, Zoltán Szigeti:

On arborescence packing augmentation in hypergraphs. 114837 - Xingyu Chen, Haiyan Guan

:
Block-transitive t-(k2,k,λ) designs and finite simple exceptional groups of Lie type. 114838 - Peter Frankl, Jiaxi Nie

, Jian Wang:
On the matching problem in random hypergraphs. 114839 - Balázs Keszegh, Dániel Simon

:
Convex hull thrackles. 114840 - Pratyush Kumar, Ankur Singh, Abhay Kumar Singh

:
Lee metric codes for symbol-pair read channels. 114841 - Eduard Inozemtsev, Andrey Kupavskii:

Two questions on Kneser colorings. 114842 - Biplab Basak, Sourav Sarkar:

On a construction of some homology d-manifolds. 114843 - Kazumasa Nomura

, Paul M. Terwilliger:
The nucleus of the Johnson graph J(N,D). 114844 - Theodore Molla, Corey Nelson:

The basis of foot-sortable sock orderings. 114845 - Zhanar Berikkyzy, Kirsten Hogenson, Rachel Kirsch, Jessica McDonald:

Maximizing the number of stars in graphs with forbidden properties. 114846 - Jing Huang:

A sharp lower bound on the generalized 4-independence number. 114847 - Stuti Mohanty, Bikramaditya Sahu

:
Characterizing families of lines meeting a hermitian variety of PG(3,q2) in q + 1 points. 114848 - Yingping Zhao, Zhongmei Qin

, Fenjin Liu:
Anti-Ramsey numbers for vertex-disjoint triangles in complete split graphs. 114849 - Yair Caro, Adriana Hansberg

, Amanda Montejano:
The evolution of unavoidable bichromatic patterns and extremal cases of balanceability. 114850 - Petr Gregor, Hung P. Hoang

, Arturo Merino, Ondrej Micka:
Generating all invertible matrices by row operations. 114851 - José E. Calderón-Gómez, Luis A. Medina, Carlos A. Molina-Salazar

:
On monomial dihedral symmetric Boolean functions. 114852 - Wanfang Chen, Jia-Bao Yang:

Some stability results for linear forests in hypergraphs. 114853 - Pingshan Li, Jue Wu, Wei Jin, Min Xu:

The characterization of the lower bound on the dissociation number of trees. 114854 - Maurizio Brunetti

, Vilmar Trevisan:
Limit points for the spectral radii of unbalanced signed graphs. 114855 - Zhipeng Gao, Ping Li, Changhong Lu, Rui Sun, Long-Tu Yuan:

The maximum number of cliques in graphs that avoid vertex-disjoint copies of path of length two. 114859 - Aida Abiad, Bart De Bruyn, Thijs van Veluw:

Hoffman colorability of (strongly) regular graphs. 114856 - Quanyu Li, Junchi Liu, Yidong Sun:

Minors of a class of recursive matrices related to partial (x,y;a,b)-Motzkin paths. 114857 - Maria Axenovich, Christian Winter:

Diagonal poset Ramsey numbers. 114858 - Francesco Barioli, Shaun M. Fallat, Himanshu Gupta, Zhongshan Li:

The weak version of the graph complement conjecture and partial results for the delta conjecture. 114861 - Robert R. Petro, Connor M. Phillips:

On clique graphs and clique regular graphs. 114862 - Yuyuan Zhang, Haitao Cao:

Quantum Latin squares with maximal cardinality. 114863 - Liqi Wang, Chengchen Wu, Xiujing Zheng:

New constructions of entanglement-assisted quantum MDS codes derived from generalized Reed-Solomon codes. 114864 - Alexander Iksanov, Zakhar Kabluchko, Alexander Marynych, Vitali Wachtel:

Multinomial random combinatorial structures and r-versions of Stirling, Eulerian and Lah numbers. 114865 - Xueyan Chen, Whan-Hyuk Choi, Hongwei Liu:

New constructions of reversible DNA codes. 114866 - Zhen Yong Shin, Ta Sheng Tan, Kok Bin Wong:

Maximal sum-free and triangle-free sets in Z 5 k. 114867 - He Guo:

Short rainbow cycles for families of small edge sets. 114868 - Mengjie Li, Jiadong Wu, Liangdong Fan, Liying Kang:

Spectral Turán problems on the expansion of matchings. 114869 - Marco Calderini, Roberto Civino, Riccardo Invernizzi:

Optimal s-boxes against alternative operations and linear propagation. 114870 - Dijian Wang, Kai Peng, Yaoping Hou:

On the maximal index of unbalanced signed graphs with a prescribed number of edges. 114871 - Saieed Akbari, Jonathan Aloni, Maxwell Levit, Bojan Mohar, Steven Xia:

Hermitian adjacency matrices with at most three distinct eigenvalues. 114872

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