Atom-bond connectivity index of graphs

被引：146
|
作者：
Das, Kinkar Ch. [1 ]
机构：
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
来源：
DISCRETE APPLIED MATHEMATICS | 2010年 / 158卷 / 11期
关键词：
Molecular graph; Atom-bond connectivity (ABC) index; Modified second Zagreb index;
D O I：
10.1016/j.dam.2010.03.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The recently introduced atom-bond connectivity (ABC) index has been applied up until now to study the stability of alkanes and the strain energy of cycloalkanes. Furtula et al. (2009) [3] obtained extremal ABC values for chemical trees, and also, it has been shown that the star K-1,K-n-1, has the maximal ABC value of trees. In this paper, we present the lower and upper bounds on ABC index of graphs and trees, and characterize graphs for which these bounds are best possible. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：1181 / 1188
页数：8
相关论文
共 50 条
  • [21] On the Maximum Atom-Bond Sum-Connectivity Index of Graphs
    Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il, Saudi Arabia
    arXiv,
  • [22] On the maximum atom-bond sum-connectivity index of graphs
    Alraqad, Tariq
    Saber, Hicham
    Ali, Akbar
    Albalahi, Abeer M.
    OPEN MATHEMATICS, 2024, 22 (01):
  • [23] General Atom-Bond Sum-Connectivity Index of Graphs
    Albalahi, Abeer M.
    Milovanovic, Emina
    Ali, Akbar
    MATHEMATICS, 2023, 11 (11)
  • [24] Atom-bond connectivity index of unicyclic graphs with perfect matchings
    Li, Jianping
    Zhou, Bo
    ARS COMBINATORIA, 2013, 109 : 321 - 326
  • [25] The maximum atom-bond connectivity index for graphs with edge-connectivity one
    Cui, Qing
    Qian, Qiuping
    Zhong, Lingping
    DISCRETE APPLIED MATHEMATICS, 2017, 220 : 170 - 173
  • [26] On tricyclic graphs with maximum atom-bond sum-connectivity index
    Noureen, Sadia
    Batool, Rimsha
    Albalahi, Abeer M.
    Shang, Yilun
    Alraqad, Tariq
    Ali, Akbar
    HELIYON, 2024, 10 (14)
  • [27] Maximal Unicyclic Graphs With Respect to New Atom-bond Connectivity Index
    Das, Kinkar Ch
    Xu, Kexiang
    Graovac, Ante
    ACTA CHIMICA SLOVENICA, 2013, 60 (01) : 34 - 42
  • [28] On the Atom-Bond Connectivity Index of Cacti
    Dong, Hawei
    Wu, Xiaoxia
    FILOMAT, 2014, 28 (08) : 1711 - 1717
  • [29] Atom-bond connectivity index of trees
    Furtula, Boris
    Graovac, Ante
    Vukicevic, Damir
    DISCRETE APPLIED MATHEMATICS, 2009, 157 (13) : 2828 - 2835
  • [30] On Second Atom-Bond Connectivity Index
    Rostami, M.
    Haghighat, M. Sohrabi
    Ghorbani, M.
    IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2013, 4 (02): : 265 - 270
12345