Critical groups of arithmetical structures on star graphs and complete graphs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Archer, Kassie, Diaz-Lopez, Alexander, Glass, Darren, Louwsma, Joel
Format:	Preprint
Published:	2023
Subjects:	Combinatorics Number Theory 05C50 (Primary) 05C25, 11C20, 11D68 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Generalized chip firing and critical groups of arithmetical structures on trees
by: Archer, Kassie, et al.
Published: (2025)

Critical groups of arithmetical structures under a generalized star-clique operation
by: Diaz-Lopez, Alexander, et al.
Published: (2022)

On Arithmetical Structures on Complete Graphs
by: Harris, Zachary, et al.
Published: (2019)

The limit theorem with respect to the matrices on non-backtracking paths of a graph
by: Hasegawa, Takehiro, et al.
Published: (2020)

Determinants of modular Collatz graphs and variants
by: Karras, Achilleas, et al.
Published: (2026)

The subspace structure of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes
by: Asgarli, Shamil, et al.
Published: (2021)

Harmonic Morphisms of Arithmetical Structures on Graphs
by: Archer, Kassie, et al.
Published: (2025)

Ihara zeta functions for some simple graph families
by: Chico, Maize, et al.
Published: (2024)

On cubic polycirculant nut graphs
by: Bašić, Nino, et al.
Published: (2024)

Cayley graphs on elementary abelian groups of extreme degree have complete cores
by: Rao, Guang, et al.
Published: (2025)

Vertex-transitive nut graph order-degree existence problem
by: Damnjanović, Ivan
Published: (2025)

On the Iwasawa theory of Cayley graphs
by: Ghosh, Sohan, et al.
Published: (2024)

The nature of the spectrum of generalized Paley graphs and weak Waring numbers over finite fields
by: Podestá, Ricardo A., et al.
Published: (2026)

Graph rigidity properties of Ramanujan graphs
by: Cioabă, Sebastian M., et al.
Published: (2022)

Isospectral Cayley graphs with even and odd spectrum
by: Chiapparoli, Paula M., et al.
Published: (2026)

Optimal factorizations of rational numbers using factorization trees
by: Samuels, Charles L., et al.
Published: (2014)

On the eigenvalues of cyclic covers of Paley graphs
by: Dinin, Natalie, et al.
Published: (2026)

On the growth of the Jacobian in $Z_p^l$-voltage covers of graphs
by: Kleine, Sören, et al.
Published: (2022)

Iwasawa theory for weighted graphs
by: Adachi, Taiga, et al.
Published: (2024)

On the largest strongly connected component of randomly oriented divisor graphs
by: Kim, Jihyung, et al.
Published: (2026)

On $\{k\}$-Roman graphs: complexity of recognition and the case of split graphs
by: Štorgel, Kenny Bešter, et al.
Published: (2025)

On the nullities of quartic circulant graphs and their extremal null spaces
by: Damnjanović, Ivan
Published: (2022)

Iwasawa theory for branched $\mathbb{Z}_{p}$-towers of finite graphs and Ihara zeta and $L$-functions
by: Gambheera, Rusiru, et al.
Published: (2025)

Connected components and non-bipartiteness of generalized Paley graphs
by: Podestá, Ricardo A., et al.
Published: (2024)

Energy and Vertex Energy of Modified Divisor Prime Graphs
by: Makadiya, Purva J., et al.
Published: (2026)

Construction of graph coverings with prescribed Iwasawa invariants
by: Kataoka, Takenori
Published: (2026)

Properties of Sub-Add Move Graphs
by: Cesarz, Patrick, et al.
Published: (2024)

On solutions of $\sum_{i=1}^n 1/x_i = 1$ in integers of the form $2^a k^b$
by: Louwsma, Joel
Published: (2024)

Classification of cubic tricirculant nut graphs
by: Damnjanović, Ivan, et al.
Published: (2023)

An analogue of the Herbrand-Ribet theorem in graph theory
by: Vallières, Daniel, et al.
Published: (2025)

Paley-like quasi-random graphs arising from polynomials
by: Kim, Seoyoung, et al.
Published: (2024)

New developments on graph sum index
by: Desai, Dheer Noal, et al.
Published: (2024)

Main $\mathbf{Q}$-eigenvalues of quasi-threshold graphs
by: Jones, Átila, et al.
Published: (2024)

Maximization of the first Laplace eigenvalue of a finite graph
by: Gomyou, T., et al.
Published: (2022)

Maximization of the first Laplace eigenvalue of a finite graph II
by: Gomyou, Takumi, et al.
Published: (2024)

A sharp spectral extremal result for general non-bipartite graphs
by: Byrne, John
Published: (2024)

The sequence of prime gaps is graphic
by: Erdős, Péter L., et al.
Published: (2022)

Two families of circulant nut graphs
by: Damnjanović, Ivan
Published: (2022)

The arithmetic of critical values I: equicritical quartic polynomials
by: Naccarato, Francesco
Published: (2024)

Bigraph percolation problems
by: Coregliano, Leonardo N.
Published: (2024)