Extremal quasi-unicyclic graphs with respect to the general multiplicative Zagreb indices

被引：3

作者：

Du, Jianwei ^{[1
]}

Sun, Xiaoling ^{[1
]}

机构：

[1] North Univ China, Sch Math, Taiyuan 030051, Peoples R China

来源：

DISCRETE APPLIED MATHEMATICS | 2023年 / 325卷

基金：

山西省青年科学基金;

关键词：

Quasi-unicyclic graph; General multiplicative Zagreb indices; Pendant vertex; Perfect matching; TREE GRAPHS; 1ST;

D O I：

10.1016/j.dam.2022.10.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The general multiplicative Zagreb indices are modified versions of the famous Zagreb indices, which can help to predict the various activities and properties of organic compounds. In this article, the minimum and maximum general multiplicative Zagreb indices of quasi-unicyclic graphs with given order, with fixed number of pendant vertices and with perfect matchings are investigated. Furthermore, the corresponding extremal quasi-unicyclic graphs are identified.(c) 2022 Elsevier B.V. All rights reserved.

引用

页码：200 / 211

页数：12

共 50 条

[1] Some notes on the extremal k-generalized quasi-unicyclic graphs with respect to Zagreb indices
Liu, Muhuo
Cheng, Kun
Tomescu, Ioan
DISCRETE APPLIED MATHEMATICS, 2020, 284 : 616 - 621
[2] Extremal (Chemical) Graphs with Respect to the General Multiplicative Zagreb Indices
Sun, Xiaoling
Du, Jianwei
IAENG International Journal of Applied Mathematics, 2024, 54 (12) : 2792 - 2798
[3] General multiplicative Zagreb indices of unicyclic graphs
Alfuraidan, Monther R.
Balachandran, Selvaraj
Vetrik, Tomas
CARPATHIAN JOURNAL OF MATHEMATICS, 2021, 37 (01) : 1 - 11
[4] Quasi-Tree Graphs With Extremal General Multiplicative Zagreb Indices
Du, Jianwei
Sun, Xiaoling
IEEE ACCESS, 2020, 8 (08): : 194676 - 194684
[5] Extremal Zagreb indices of unicyclic graphs
Chen, Shubo
Zhou, Houqing
ARS COMBINATORIA, 2010, 97 : 241 - 248
[6] Extremal Zagreb indices of unicyclic graphs
Chen, Shubo
Zhou, Houqing
UTILITAS MATHEMATICA, 2019, 113 : 311 - 318
[7] Extremal k-generalized quasi unicyclic graphs with respect to first and second Zagreb indices
Javaid, Faisal
Jamil, Muhammad Kamran
Tomescu, Ioan
DISCRETE APPLIED MATHEMATICS, 2019, 270 : 153 - 158
[8] Extremal quasi-unicyclic graphs with respect to vertex-degree function index
Tomescu, Ioan
ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS, 2023, 11 (01) : 39 - 48
[9] Trees, Unicyclic, and Bicyclic Graphs Extremal with Respect to Multiplicative Sum Zagreb Index
Xu, Kexiang
Das, Kinkar Ch
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2012, 68 (01) : 257 - 272
[10] A Unified Approach to Extremal Multiplicative Zagreb Indices for Trees, Unicyclic and Bicyclic Graphs
Xu, Kexiang
Hua, Hongbo
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2012, 68 (01) : 241 - 256

← 1 2 3 4 5 →