On abelian \(\ell\)-towers of multigraphs

DOI10.1007/s40316-020-00152-4zbMath1473.05192arXiv2006.14012OpenAlexW3125944700MaRDI QIDQ2231555

Daniel Vallières

Publication date: 30 September 2021

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.14012

zbMATH Keywords

multigraphnumber of spanning treesArtin-Ihara L-functions

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) (zeta (s)) and (L(s, chi)) (11M06) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (5)

On abelian \(\ell \)-towers of multigraphs. II ⋮ On \(\mathbb{Z}_{\ell}^d\)-towers of graphs ⋮ ON THE DISTRIBUTION OF IWASAWA INVARIANTS ASSOCIATED TO MULTIGRAPHS ⋮ The non-\(\ell\)-part of the number of spanning trees in abelian \(\ell\)-towers of multigraphs ⋮ Iwasawa theory of Jacobians of graphs

Uses Software

• SageMath

Cites Work

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• A note on the zeta function of a graph
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Harmonic Morphisms and Hyperelliptic Graphs
• Topological Crystallography

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