Zeta functions of finite Schreier graphs and their zig-zag products

DOI10.1142/S0219498817501511zbMath1368.05074arXiv1508.00371MaRDI QIDQ4975387

Asif Ali Shaikh, Hemant Dattatray Bhate

Publication date: 4 August 2017

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

Full work available at URL: https://arxiv.org/abs/1508.00371

zbMATH Keywords

Schreier graphsIhara zeta functionsBasilica groupszig-zag product of graphs

Mathematics Subject Classification ID

Graph polynomials (05C31) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Groups acting on trees (20E08) Graph operations (line graphs, products, etc.) (05C76)

Cites Work

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• Some topics in the dynamics of group actions on rooted trees.
• Schreier graphs of the Basilica group.
• Entropy waves, the zig-zag graph product, and new constant-degree expanders
• Connectedness and Isomorphism Properties of the Zig-Zag Product of Graphs
• Zeta Functions of Heisenberg Graphs over Finite Rings
• The Ihara zeta function of infinite graphs, the KNS spectral measure and integrable maps
• ON A TORSION-FREE WEAKLY BRANCH GROUP DEFINED BY A THREE STATE AUTOMATON
• Partition Functions of the Ising Model on Some Self-similar Schreier Graphs
• On one-factorizations of replacement products

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