边加权的边自由商图的Zeta函数  

Edge-Weighted Zeta Functions of Edge-Free Quotients of Graphs

作　　者：顾雪君 朱林 

机构地区：[1]上海理工大学理学院,上海

出　　处：《理论数学》2023年第4期935-941,共7页Pure Mathematics

摘　　要：为推广边自由商图的Zeta函数,本文定义了边加权的边自由商图上的Zeta函数。为方便推广后的Zeta函数的表达式的计算,利用边自由商图的性质,给出新的二项和三项行列式公式。Edge-weighted Zeta functions of edge-free quotients of graphs are defined to generalize the Zeta functions of edge-free quotients of graphs. Two-term and three-term determinant formulas of the edge-weighted Zeta functions are obtained with the properties of edge-free quotients of graphs, which offers a better way to calculate it.

关 键 词：边自由商图 ZETA函数 Artin-Ihara L-函数 

分 类 号：G63[文化科学—教育学]