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
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
  • [1] On the maximum atom-bond sum-connectivity index of graphs
    Alraqad, Tariq
    Saber, Hicham
    Ali, Akbar
    Albalahi, Abeer M.
    OPEN MATHEMATICS, 2024, 22 (01):
  • [2] On the atom-bond sum-connectivity index of chemical graphs
    Zuo, Xuewu
    Jahanbani, Akbar
    Shooshtari, Hajar
    JOURNAL OF MOLECULAR STRUCTURE, 2024, 1296
  • [3] General Atom-Bond Sum-Connectivity Index of Graphs
    Albalahi, Abeer M.
    Milovanovic, Emina
    Ali, Akbar
    MATHEMATICS, 2023, 11 (11)
  • [4] 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,
  • [5] Atom-bond sum-connectivity index
    Ali, Akbar
    Furtula, Boris
    Redzepovic, Izudin
    Gutman, Ivan
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2022, 60 (10) : 2081 - 2093
  • [6] Atom-bond sum-connectivity index
    Akbar Ali
    Boris Furtula
    Izudin Redžepović
    Ivan Gutman
    Journal of Mathematical Chemistry, 2022, 60 : 2081 - 2093
  • [7] 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)
  • [8] On the general atom-bond sum-connectivity index
    Albalahi, Abeer M.
    Du, Zhibin
    Ali, Akbar
    AIMS MATHEMATICS, 2023, 8 (10): : 23771 - 23785
  • [9] Extremal values of the atom-bond sum-connectivity index in bicyclic graphs
    Aarthi, Kannan
    Elumalai, Suresh
    Balachandran, Selvaraj
    Mondal, Sourav
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (06) : 4269 - 4285
  • [10] Extremal values of the atom-bond sum-connectivity index in bicyclic graphs
    Kannan Aarthi
    Suresh Elumalai
    Selvaraj Balachandran
    Sourav Mondal
    Journal of Applied Mathematics and Computing, 2023, 69 : 4269 - 4285