几种复合图的Bartholdi Zeta函数

The Bartholdi Zeta Function of Several Kinds of Composite Graphs

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.