Ihara zeta function

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo finite graph
gptkbp:field gptkb:mathematics
number theory
graph theory
gptkbp:form determinant formula involving adjacency matrix
gptkbp:generalizes zeta function of a curve over a finite field
gptkbp:hasApplication expander graphs
random walks on graphs
spectral analysis of graphs
gptkbp:hasProperty rational function
https://www.w3.org/2000/01/rdf-schema#label Ihara zeta function
gptkbp:introducedIn 1966
gptkbp:namedAfter gptkb:Yasutaka_Ihara
gptkbp:relatedTo gptkb:Selberg_zeta_function
gptkb:Riemann_zeta_function
gptkbp:studiedIn gptkb:spectral_graph_theory
gptkbp:usedFor counting closed geodesics on graphs
gptkbp:bfsParent gptkb:Yasutaka_Ihara
gptkbp:bfsLayer 6