文献类型：期刊文献

英文题名：Extremal unicyclic graphs of Sombor index

作者：Chen, Meng[1];Zhu, Yan[1]

机构：[1]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China

年份：2024

卷号：463

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20234114847605);WOS:【SCI-EXPANDED(收录号:WOS:001088258300001)】；

基金：This work is supported by NSFC (No. 12101237) of China.

语种：英文

外文关键词：Unicyclic graph; The Sombor index; Chemical graph; Extremal value; Girth

摘要：Unicyclic graph is one kind of typical graph for indices basing degree of vertex. Various chemical structures can be exhibited in unicyclic graph as well. A graph is said to be unicyclic if the graph is connected and vertical bar V(G)vertical bar = vertical bar E(G)vertical bar. Recently, the Sombor index, which is defined by SO = SO(G) = Sigma(uv is an element of E(G)) root d(G)(2)(u) + d(G)(2)(v), was proposed by Gutman. This paper establishes distinct bounds for this index of unicyclic graph with girth l, as well as specific bounds of chemical unicyclic graph with girth l.