几种复合图的Bartholdi Zeta函数  

The Bartholdi Zeta Function of Several Kinds of Composite Graphs

作　　者：陈语 陈海燕[1] CHEN Yu;CHEN Haiyai(School of Scicnccs,jimci Univcrsity,Xiamcn 361021,China)

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《厦门大学学报（自然科学版）》2018年第3期379-382,共4页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金(11171134;11301217);福建省自然科学基金(2015J01017;2013J01014)

摘　　要：图G的Bartholdi Zeta函数是一个二元函数.给定图G_1与G_2,令G_1∨G_2,G_1∨·G_2和G_1∨G_2分别表示它们的三角点联图、剖分点联图和剖分边联图,得到了这3种复合图Bartholdi Zeta函数的具体表达式.The Bartholdi Zeta function of G is defined to be a function with two variables.For given graphs G1 and G2 ,let the trian gulation vertex join,subdivision vertex join and subdivision edge join of graph G1 and G2 ,be denoted by G1 , VG2 ,G1 VG2 and G1 VG2.1n this paper,we obtain explicit expressions of the Bartholdi Zeta function for these three kinds of composite graphs.

关 键 词：BartholdiZeta函数 三角点联图 剖分点联图 剖分边联图 

分 类 号：O157.1[理学—数学]