A new weighted Ihara zeta function for a graph

DOI10.1016/j.laa.2019.02.022zbMath1411.05169OpenAlexW2918364527WikidataQ128309172 ScholiaQ128309172MaRDI QIDQ2419016

Hideo Mitsuhashi, Hideaki Morita, Norio Konno, Iwao Sato

Publication date: 29 May 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.02.022

zbMATH Keywords

transition probability matrixzeta functionspectranon-backtracking random walk

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other Dirichlet series and zeta functions (11M41)

Related Items

A vertex weighted Bartholdi zeta function for a digraph ⋮ Zeta functions of edge-free quotients of graphs ⋮ A vertex weighted Bartholdi zeta function for a graph ⋮ Ihara zeta function of finite graphs with circuit rank two

Cites Work

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• Weighted zeta functions of graphs
• Zeta functions of finite graphs and coverings. II
• Zeta functions of graph coverings
• Zeta functions of finite graphs and coverings
• Non-backtracking random walk
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• Spectral redemption in clustering sparse networks
• ON ZETA AND L-FUNCTIONS OF FINITE GRAPHS
• NON-BACKTRACKING RANDOM WALKS MIX FASTER
• A Combinatorial Proof of Bass’s Evaluations of the Ihara-Selberg Zeta Function for Graphs
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
• The non-backtracking spectrum of the universal cover of a graph