山西大学学报（自然科学版）2024，Vol.47Issue(2)：295-301,7.DOI:10.13451/j.sxu.ns.2023063
交换环Zn上的零除数图的Gutman指数
The Gutman Index of the Zero-divisor Graph on the Commutative Ring Zn
摘要
Abstract
A zero-divisor graph over a commutative ring is an undirected simple connected graph,whose vertex set is the set of zero factors over the ring.Based on the Gutman index of degree and distance,the method of classification discussion is mainly adopted in this paper.Firstly,the vertex of the zero-divisor graph on the ring is divided.Secondly,the degree and distance on the induced sub-graphs of the zero-divisor graph and the connection relationship between them are discussed.Thus the Gutman index of the zero-di-visor graph in some cases is described.关键词
Gutman指数/交换环/零除数图/诱导子图Key words
Gutman index/commutative ring/zero-divisor graph/induced subgraph分类
数理科学引用本文复制引用
苗红丽,梅银珍..交换环Zn上的零除数图的Gutman指数[J].山西大学学报（自然科学版）,2024,47(2):295-301,7.基金项目
国家自然科学基金(61774137) （61774137）
山西省回国留学人员科研项目(2022-149) （2022-149）
山西省自然科学基金(20210302124212) （20210302124212）
