Ihara zeta functions for periodic simple graphs
Daniele Guido, Tommaso Isola, Michel L. Lapidus
Abstract
The definition and main properties of the Ihara zeta function for graphs are reviewed, focusing mainly on the case of periodic simple graphs. Moreover, we give a new proof of the associated determinant formula, based on the treatment developed by Stark and Terras for finite graphs.
Create a lesson
Related papers
Selfless Reduced Crossed Product C*-Algebras Arising from Almost Periodic Actions
Syuichi Ohshima
A Centroid Framework for Operator-Valued Haagerup Inequalities
Patrick Oliveira Santos
Weak Factorization and Product Systems Over Groupoids
Jon Bannon, Alina Vdovina
Representation stability for compact and discrete quantum groups
Michael Brannan, Junichiro Matsuda, Erik Séguin
Warped cones associated to isometric free actions do not have geometric property (T)
Ryo Toyota
Non-Subhomogeneity of Minimal Operator Systems over Positive Semidefinite and Lorentz Cones
Tim Netzer