Arithmetical structures on graphs with connectivity one

DOI10.1142/S0219498818501475zbMath1393.05177arXiv1606.03726MaRDI QIDQ3177311

Hugo Corrales, Carlos E. Valencia

Publication date: 31 July 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03726

zbMATH Keywords

Laplacian matrixarithmetical structurecut vertexM-matricesarithmetical graphs2-connected componentsconnectivity one

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Diophantine equations in many variables (11D72) Directed graphs (digraphs), tournaments (05C20) Connectivity (05C40) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (5)

Algorithmic aspects of arithmetical structures ⋮ Arithmetical structures on bidents ⋮ Arithmetical structures on dominated polynomials ⋮ Chip-Firing Games and Critical Groups ⋮ Arithmetical Structures on Paths With a Doubled Edge

Cites Work

• Arithmetical graphs
• Counting arithmetical structures on paths and cycles
• Chromatic number and the 2-rank of a graph
• Chip-firing and energy minimization on M-matrices
• Arithmetical structures on graphs
• On the critical ideals of graphs
• Algebraic Potential Theory on Graphs
• Reduction of points in the group of components of the Néron model of a jacobian

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