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
相关论文
共 50 条
  • [41] Some Variations on the Extremal Index
    Buriticá G.
    Meyer N.
    Mikosch T.
    Wintenberger O.
    Journal of Mathematical Sciences, 2023, 273 (5) : 687 - 704
  • [42] Some extremal bounds for subclasses of univalent functions
    Wisniowska-Wajnryb, Agnieszka
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (07) : 2634 - 2641
  • [43] Weighted PI index of edge corona product of some classes of graphs
    Hemalatha, Rangasamy
    Geetha, J.
    Somasundaram, K.
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2024,
  • [44] Edge Mostar index of chemical structures and nanostructures using graph operations
    Imran, Muhammad
    Akhter, Shehnaz
    Iqbal, Zahid
    INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2020, 120 (15)
  • [45] Some New Bounds of Weighted Graph Entropies with GA and Gaurava Indices Edge Weights
    Wu, Tiejun
    Mutee Ur Rehman, Hafiz
    Chu, Yu-Ming
    Afzal, Deeba
    Yu, Jianfeng
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020 (2020)
  • [46] On Extremal Cacti with Respect to the Edge Szeged Index and Edge-vertex Szeged Index
    He, Shengjie
    Hao, Rong-Xia
    Yu, Aimei
    FILOMAT, 2018, 32 (11) : 4069 - 4078
  • [47] Bounds on the edge version of the Nirmala index
    Movahedi, F.
    Akhbari, M. H.
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2024,
  • [48] SOME GRAPHS WITH EXTREMAL PI INDEX
    Hao, Jianxiu
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2010, 63 (01) : 211 - 216
  • [49] Sum of Powers of the Degrees of Graphs: Extremal Results and Bounds
    Ali, Akbar
    Gutman, Ivan
    Milovanovic, Emina
    Milovanovic, Igor
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2018, 80 (01) : 5 - 84
  • [50] Extremal graph characterization from the bounds of the spectral radius of weighted graphs
    Das, Kinkar Ch.
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (18) : 7420 - 7426
12345