On the atom-bond sum-connectivity index of chemical graphs

被引：13
|
作者：
Zuo, Xuewu [1 ]
Jahanbani, Akbar [2 ]
Shooshtari, Hajar [2 ]
机构：
[1] Anhui Xinhua Univ, Dept Common Course, Hefei 230088, Peoples R China
[2] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran
来源：
JOURNAL OF MOLECULAR STRUCTURE | 2024年 / 1296卷
关键词：
The atom-bond sum-connectivity index; Chemical graphs;
D O I：
10.1016/j.molstruc.2023.136849
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
The atom-bond sum-connectivity (ABS) index of a given graph G is symbolized with ABS and define by sum of the weights root d(u) + d(v)(-2)/d(u) + d(v) , where d(u) is the degree of a vertex u in G. In this paper, the extremal atom-bond sum-connectivity index among all n-vertex chemical trees, connected chemical unicyclic graphs, connected chemical bicyclic graphs, and connected chemical tricyclic graphs, were determined.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] The atom-bond connectivity index of chemical bicyclic graphs
    Jin-song Chen
    Xiao-feng Guo
    Applied Mathematics-A Journal of Chinese Universities, 2012, 27 : 243 - 252
  • [22] The atom-bond connectivity index of chemical bicyclic graphs
    CHEN Jinsong GUO XiaofengCollege of Mathematics and Computer ScienceHunan Normal UniversityChangsha ChinaCollege of Mathematics and Computer ScienceFuzhou UniversityFuzhou ChinaSchool of Mathematical SciencesXiamen UniversityXiamen China
    Applied Mathematics:A Journal of Chinese Universities(Series B), 2012, 27 (02) : 243 - 252
  • [23] Spectral properties of the atom-bond sum-connectivity matrix
    Liu, Jiangtong
    Hu, Yarong
    Ren, Xiangyu
    CONTRIBUTIONS TO MATHEMATICS, 2024, 10 : 1 - 10
  • [24] The atom-bond connectivity index of chemical bicyclic graphs
    CHEN Jin-song1
    Applied Mathematics:A Journal of Chinese Universities, 2012, (02) : 243 - 252
  • [25] On atom-bond connectivity index of graphs
    Hua, Hongbo
    Das, Kinkar Chandra
    Wang, Hongzhuan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 479 (01) : 1099 - 1114
  • [26] Atom-bond connectivity index of graphs
    Das, Kinkar Ch.
    DISCRETE APPLIED MATHEMATICS, 2010, 158 (11) : 1181 - 1188
  • [27] On trees of a fixed maximum degree with extremal general atom-bond sum-connectivity index
    Ali, Akbar
    Doslic, Tomislav
    Raza, Zahid
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025, 71 (01) : 1035 - 1049
  • [28] On the Exponential Atom-Bond Connectivity Index of Graphs
    Das, Kinkar Chandra
    MATHEMATICS, 2025, 13 (02)
  • [29] Minimum atom-bond sum-connectivity index of trees with a fixed order and/or number of pendent vertices
    Alraqad, Tariq A.
    Milovanovic, Igor Z. .
    Saber, Hicham
    Ali, Akbar
    Mazorodze, Jaya P.
    Attiya, Adel A.
    AIMS MATHEMATICS, 2024, 9 (02): : 3707 - 3721
  • [30] On Relations between Atom-Bond Sum-Connectivity Index and other Degree-Based Indices
    Swathi, Shetty
    Udupa, N. V. Sayinath
    Rakshith, B. R.
    Anusha, Laxmana
    IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2024, 15 (04): : 283 - 295
12345