The graph zeta functions with respect to the group matrix of a finite group

Authors: Miezaki, Tsuyoshi, Sato, Iwao

Subject Terms: Mathematics - Combinatorics, 05C50, 15A15

Access URL: http://arxiv.org/abs/2503.16821

On non-bipartite graphs with integral signless Laplacian eigenvalues at most 6

Authors: Oh, Semin, Park, Jeong Rye, Park, Jongyook, Sano, Yoshio

Subject Terms: Mathematics - Combinatorics, 05C50

Access URL: http://arxiv.org/abs/2503.14967

Matrix nearness problems and eigenvalue optimization

Authors: Guglielmi, Nicola, Lubich, Christian

Subject Terms: Mathematics - Numerical Analysis, Mathematics - Dynamical Systems, Mathematics - Optimization and Control, 15A18, 65F15, 65L05, 65F55, 93D15, 93D20, 05C50, 90C26

Access URL: http://arxiv.org/abs/2503.14750

On the determinant of the walk matrix of the rooted product with a path

Authors: Yan, Zhidan, Wang, Wei

Subject Terms: Mathematics - Combinatorics, 05C50

Access URL: http://arxiv.org/abs/2503.12130

On co-edge-regular graphs with 4 distinct eigenvalues

Authors: Ge, Hong-Jun, Koolen, Jack H.

Subject Terms: Mathematics - Combinatorics, Primary: 05C50, Secondary: 05B15

Access URL: http://arxiv.org/abs/2503.12025

More on the full Brouwer Laplacian spectrum conjecture

Authors: Chen, Xiaodan, Zi, Junwei

Subject Terms: Mathematics - Combinatorics, 05C50

Access URL: http://arxiv.org/abs/2503.11165

Nut digraphs

Authors: Bašić, Nino, Fowler, Patrick W., McCarthy, Maxine M., Potočnik, Primož

Subject Terms: Mathematics - Combinatorics, 05C50, 05C20, 05C92

Access URL: http://arxiv.org/abs/2503.10548

Shortest Circuits in Homology Classes of Graphs

Authors: Luo, Ye

Subject Terms: Mathematics - Combinatorics, 05C38, 05C45, 05C50, 90C27

Access URL: http://arxiv.org/abs/2503.09087

Particle Systems and McKean--Vlasov Dynamics with Singular Interaction through Local Times

Authors: Baker, Graeme, Hambly, Ben, Jettkant, Philipp

Subject Terms: Mathematics - Probability, 60H10, 60F17, 60J55, 05C50

Access URL: http://arxiv.org/abs/2503.08837

Sets of equiangular lines in dimension $18$ constructed from $A_9 \oplus A_9 \oplus A_1$

Authors: Lin, Yen-chi Roger, Munemasa, Akihiro, Taniguchi, Tetsuji, Yoshino, Kiyoto

Subject Terms: Mathematics - Combinatorics, 05B40, 05B20, 05C50, 05C70

Access URL: http://arxiv.org/abs/2503.06377

Characterizing the positive inertia index of connected signed graphs in terms of girth

Authors: Khan, Suliman, Hayat, Sakander, Alenazi, Mohammed J. F.

Subject Terms: Mathematics - Combinatorics, 05C22, 05C50

Access URL: http://arxiv.org/abs/2503.05135

On the $Q$-polynomial property of bipartite graphs admitting a uniform structure

Authors: Fernández, Blas, Maleki, Roghayeh, Miklavič, Štefko, Monzillo, Giusy

Subject Terms: Mathematics - Combinatorics, 05E99, 05C50

Access URL: http://arxiv.org/abs/2503.02339

An exact formula for the contraction factor of a subdivided Gaussian topological polymer

Authors: Cantarella, Jason, Deguchi, Tetsuo, Shonkwiler, Clayton, Uehara, Erica

Subject Terms: Condensed Matter - Statistical Mechanics, Mathematics - Combinatorics, 82D60 (primary), 60G50, 60D05, 05C50 (secondary)

Access URL: http://arxiv.org/abs/2503.01310

Soft Barycentric Refinement

Authors: Knill, Oliver

Subject Terms: Mathematics - Combinatorics, Computer Science - Discrete Mathematics, 05C15, 05C50, 15-xx

Access URL: http://arxiv.org/abs/2503.00909

Nut graphs with a prescribed number of vertex and edge orbits

Authors: Bašić, Nino, Damnjanović, Ivan

Subject Terms: Mathematics - Combinatorics, 05C50, 05C25

Access URL: http://arxiv.org/abs/2502.20201

Inverse problems related to electrical networks and the geometry of non-negative Grassmannians

Authors: Kazakov, A. A.

Subject Terms: Mathematical Physics, Mathematics - Analysis of PDEs, 05C10, 05C50, 05E10, 15M15, 34B45, 35R30, 82B20, 90C05, 90C59, 94C05, 94C15

Access URL: http://arxiv.org/abs/2502.16710

Sheaf theory: from deep geometry to deep learning

Authors: Ayzenberg, Anton, Gebhart, Thomas, Magai, German, Solomadin, Grigory

Subject Terms: Mathematics - Algebraic Topology, Computer Science - Computational Geometry, Computer Science - Machine Learning, Mathematics - K-Theory and Homology, 01A65, 68T07, 06A06, 06A11, 13P20, 54B40, 55-08, 55N30, 05C50 (Primary) 68T09, 68T30, 91D30, 94C15, 55U15, 80M35, 05C22, 05C60, 05C65, 68R12, 18C50 (Secondary), A.1, F.2.1, G.1.3, G.1.10, G.2.2, I.2.4, I.2.6

Access URL: http://arxiv.org/abs/2502.15476

The dual Cheeger-Buser inequality for graphons

Authors: Pokharanakar, Mugdha Mahesh

Subject Terms: Mathematics - Combinatorics, 05C50

Access URL: http://arxiv.org/abs/2502.15213

A note on plane trees with decreasing labels

Authors: Cheung, Tsun-Ming, Devroye, Luc, Goh, Marcel K.

Subject Terms: Mathematics - Combinatorics, 05C05, 05C30, 05C50

Access URL: http://arxiv.org/abs/2502.14596

A new measure of robustness of Erd\H{o}s--Ko--Rado Theorems on permutation groups

Authors: Gunderson, Karen, Meagher, Karen, Morris, Joy, Pantangi, Venkata Raghu Tej, Shirazi, Mahsa N

Subject Terms: Mathematics - Combinatorics, 05E30, 05C50, 05C25

Access URL: http://arxiv.org/abs/2502.14582