Properties determined by the Ihara zeta function of a graph

zbMath1230.05199MaRDI QIDQ2380239

Yaim Cooper

Publication date: 26 March 2010

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224806

zbMATH Keywords

component numbersHashimoto's edge matrixvertex numbers

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other Dirichlet series and zeta functions (11M41) Structural characterization of families of graphs (05C75)

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Graph characterization by counting sink star subgraphs ⋮ The Ihara-zeta function and the spectrum of the join of two semi-regular bipartite graphs ⋮ The coefficients of the reduced Bartholdi zeta function ⋮ On the Ihara zeta function of cones over regular graphs ⋮ On the Ihara zeta function and resistance distance-based indices ⋮ A characteristic polynomial for the transition probability matrix of correlated random walks on a graph ⋮ Enumeration of graphs with the same Ihara zeta function ⋮ Ihara zeta functions of coronae ⋮ Ihara zeta functions and cospectrality of joins of regular graphs ⋮ There is no going back: properties of the non-backtracking Laplacian ⋮ Some properties of graphs determined by edge zeta functions ⋮ Bartholdi zeta functions of generalized join graphs ⋮ The Ihara zeta function of the complement of a semiregular bipartite graph ⋮ Edge reconstruction of the Ihara zeta function ⋮ On a construction using commuting regular graphs ⋮ Ihara zeta function and spectrum of the cone over a semiregular bipartite graph ⋮ Distinguishing graphs with zeta functions and generalized spectra

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