Zeta functions and complexities of a semiregular bipartite graph and its line graph

DOI10.1016/j.disc.2006.04.039zbMath1109.05074OpenAlexW1976128030MaRDI QIDQ864165

Iwao Sato

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.disc.2006.04.039

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other Dirichlet series and zeta functions (11M41)

Related Items (10)

The Ihara-zeta function and the spectrum of the join of two semi-regular bipartite graphs ⋮ Zeta functions of several corona-type graphs ⋮ Ihara zeta functions of coronae ⋮ Zeta functions and complexities of middle graphs of semiregular bipartite graphs ⋮ The Ihara zeta function of the complement of a semiregular bipartite graph ⋮ \(L\)-functions for line graphs of semiregular bipartite graphs ⋮ On a construction using commuting regular graphs ⋮ Ihara zeta function and spectrum of the cone over a semiregular bipartite graph ⋮ The enumeration of spanning tree of weighted graphs ⋮ Expression for the Number of Spanning Trees of Line Graphs of Arbitrary Connected Graphs

Cites Work

• A note on the zeta function of a graph
• Zeta functions of finite graphs and coverings
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
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