Zeta functions of graphs

Details

Supervisors

Thilmany, François ; Caprace, Pierre-Emmanuel

Faculty

Faculté des sciences

Degree label

Master [120] en sciences mathématiques, à finalité approfondie

Abstract

This thesis explores two types of zeta functions related to graphs: the edge zeta function and the vertex zeta function, also known as the Ihara zeta function. We introduce some well known results, as well as prove new results regarding graph inflation, product of graphs and the reconstruction of a graph using its edge zeta.