Atom-bond sum-connectivity index of line graphs

被引：6
|
作者：
Ge, Yanyan [1 ]
Lin, Zhen [1 ]
Wang, Jiajia [1 ]
机构：
[1] Qinghai Normal Univ, Sch Math & Stat, Xining 810008, Qinghai, Peoples R China
来源：
DISCRETE MATHEMATICS LETTERS | 2023年 / 12卷
基金：
中国国家自然科学基金;
关键词：
atom-bond sum-connectivity index; line graph; extremal graph;
D O I：
10.47443/dml.2023.197
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The recently introduced atom-bond sum-connectivity (ABS) index is receiving nowadays significant attention in chemical graph theory. In this paper, an inequality between the ABS index of a graph and its line graph is established. As a consequence of the obtained inequality, the unique graph with the minimum ABS index among all line graphs of unicyclic graphs of fixed order is determined.
引用
收藏
页码：196 / 200
页数：5
相关论文
共 50 条
  • [31] EXTREMAL ATOM-BOND CONNECTIVITY INDEX OF CACTUS GRAPHS
    Ashrafi, Ali Reza
    Dehghan-Zadeh, Tayebeh
    Habibi, Nader
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 30 (03): : 283 - 295
  • [32] Maximum atom-bond sum-connectivity index of n-order trees with fixed number of leaves
    Noureen, Sadia
    Ali, Akbar
    DISCRETE MATHEMATICS LETTERS, 2023, 12 : 26 - 28
  • [33] The atom-bond connectivity index of chemical bicyclic graphs
    Chen Jin-song
    Guo Xiao-feng
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2012, 27 (02) : 243 - 252
  • [34] Some Results on Atom-Bond Connectivity Index of Graphs
    Gan, Lu
    Hou, Huoquan
    Liu, Bolian
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2011, 66 (02) : 669 - 680
  • [35] On the atom-bond connectivity index and radius of connected graphs
    Du, Zhibin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [36] Analysis of porphyrin, PETIM and zinc porphyrin dendrimers by atom-bond sum-connectivity index for drug delivery
    Huang, Rong-Rong
    Aftab, Sahar
    Noureen, Sadia
    Aslam, Adnan
    MOLECULAR PHYSICS, 2023, 121 (15)
  • [37] 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
  • [38] 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
  • [39] The atom-bond connectivity index of chemical bicyclic graphs
    CHEN Jin-song1
    Applied Mathematics:A Journal of Chinese Universities, 2012, (02) : 243 - 252
  • [40] On the atom-bond connectivity index and radius of connected graphs
    Zhibin Du
    Journal of Inequalities and Applications, 2015
12345