正则图联图的Ihara zeta函数及其应用

(集美大学理学院,福建 厦门 361021)

Ihara zeta函数; 联图; 基尔霍夫指标

The Ihara zeta function of a join graph of regular graph and its applications
CHEN Yu,CHEN Haiyan*

(School of Sciences,Jimei University,Xiamen 361021,China)

Ihara zeta function; join graph; Kirchhoff index

DOI: 10.6043/j.issn.0438-0479.201802013

备注

图G的Ihara zeta 函数是一个一元函数.首先用代数方法得到了两个正则图联图的Ihara zeta函数的一个因子乘积表达式,在此基础上得到了正则图联图的3种基尔霍夫指标(基尔霍夫指标、度和基尔霍夫指标和度乘基尔霍夫指标)之间的一个关系式.

The Ihara zeta function of graph G is a function with one variable.In this paper,by the algebraic method,we first obtain a factorial product expression of Ihara zeta function of join graph.Then based on the expression,we obtain a relationship among three Kirchhoff indices i.e.Kirchhoff index,additive degree-Kirchhoff index,and multiplicative degree-Kirchhoff index.