On the Extremal Weighted Mostar Index of Bicyclic Graphs

被引：0

作者：

He, Yuwei ^{[1
]}

Liu, Mengmeng ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Sch Math, Lanzhou 730070, Peoples R China

来源：

AXIOMS | 2024年 / 13卷 / 08期

基金：

中国国家自然科学基金;

关键词：

bicyclic graph; the weighted Mostar index; extremal graph; TREES; CACTI;

D O I：

10.3390/axioms13080519

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a simple connected graph with edge set E(G) and vertex set V(G). The weighted Mostar index of a graph G is defined as w+Mo(G)=& sum;e=uv is an element of E(G)(dG(u)+dG(v))|nu(e)-nv(e)|, where nu(e) denotes the number of vertices closer to u than to v for an edge uv in G. In this paper, we obtain the upper bound and lower bound of the weighted Mostar index among all bicyclic graphs and characterize the corresponding extremal graphs.

引用

页数：11

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