Bartholdi zeta functions of line graphs and middle graphs of graph coverings

DOI10.1016/j.disc.2004.11.006zbMath1059.05086OpenAlexW1997435929MaRDI QIDQ1773365

Hirobumi Mizuno, Iwao Sato

Publication date: 28 April 2005

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2004.11.006

zbMATH Keywords

Zeta functionLine graphGraph covering

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Other Dirichlet series and zeta functions (11M41)

Related Items (2)

Zeta functions of line, middle, total graphs of a graph and their coverings ⋮ A note on Bartholdi zeta function and graph invariants based on resistance distance

Cites Work

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• Traversability and connectivity of the middle graph of a graph
• Bartholdi zeta functions of graph coverings
• Counting paths in graphs
• \(L\)-functions for images of graph coverings by some operations
• Characteristic polynomials of some graph coverings
• Zeta functions of finite graphs and coverings
• Jacobian tori associated with a finite graph and its abelian covering graphs
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• Zeta Functions for Images of Graph Coverings by Some Operations
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE

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