边加权的边自由商图的Zeta函数
Edge-Weighted Zeta Functions of Edge-Free Quotients of Graphs
DOI: 10.12677/PM.2023.134098, PDF,    国家自然科学基金支持
作者: 顾雪君, 朱 林：上海理工大学理学院，上海
关键词: 边自由商图；Zeta函数；Artin-Ihara L-函数；Edge-Free Quotients of Graphs； Zeta Functions； Artin-Ihara L-Functions
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。
Abstract: 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.
文章引用：顾雪君, 朱林. 边加权的边自由商图的Zeta函数[J]. 理论数学, 2023, 13(4): 935-941. https://doi.org/10.12677/PM.2023.134098

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