Zeta functions from graphs

DOI10.1016/j.akcej.2017.09.007zbMath1403.05148OpenAlexW2780914974MaRDI QIDQ1713580

Simon Davis

Publication date: 25 January 2019

Published in: AKCE International Journal of Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.akcej.2017.09.007

zbMATH Keywords

eigenvalueszeta functionadjacency matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other Dirichlet series and zeta functions (11M41) Graph algorithms (graph-theoretic aspects) (05C85)

Cites Work

• Heat kernels on regular graphs and generalized Ihara zeta function formulas
• A functional relation for \(L\)-functions of graphs equivalent to the Riemann hypothesis for Dirichlet \(L\)-functions
• Ihara's zeta function for periodic graphs and its approximation in the amenable case
• Zeta functions of finite graphs and coverings
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• Convergence of zeta functions of graphs
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
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