On Some Extremal Results and Bounds of Additively Weighted Edge Mostar Index

被引：0
|
作者：
Alex, Liju [1 ,2 ]
Indulal, Gopal [3 ]
机构：
[1] Bishop Chulaparambil Mem BCM Coll, Kottayam 686001, India
[2] Marthoma Coll, Pathanamthitta 689103, India
[3] St Aloysius Coll, Alappuzha 689573, India
来源：
IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY | 2025年 / 16卷 / 01期
关键词：
Mostar Index; Additively weighted edge; Trees; Unicyclic Graphs; Cacti;
D O I：
10.22052/IJMC.2024.254661.1858
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
The additively weighted edge Mostar index is a topological index(TI) defined as an extension of the edge Mostar index. In this paper, we determine the extrema of the additively weighted edge Mostar index for trees. Additionally, we compute the lower bound and first four upper bounds of additively weighted edge Mostar index of unicyclic graphs and the upper bound for cacti with a fixed number of cycles. All the graphs attaining the bounds are characterized. We also propose two conjectures on additively weighted edge Mostar index of bicyclic graphs.
引用
收藏
页码：51 / 64
页数：14
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