Extremal values of the Sombor index in unicyclic and bicyclic graphs

被引:75
|
作者
Cruz, Roberto [1 ]
Rada, Juan [1 ]
机构
[1] Univ Antioquia, Inst Matemat, Medellin, Colombia
关键词
Sombor index; Unicyclic graphs; Bicyclic graphs; Extremal values;
D O I
10.1007/s10910-021-01232-8
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Let G be a graph with set of vertices V(G) and set of edges E(G). The Sombor index is a recently introduced vertex-degree-based-topological index, defined as where d u denotes the degree of the vertex u. In this paper we study the extremal values of SO over the set of unicyclic graphs and over the set of bicyclic graphs.
引用
收藏
页码:1098 / 1116
页数:19
相关论文
共 50 条
  • [21] Modified Sombor index of unicyclic graphs with a given diameter
    Shooshtari, H.
    Sheikholeslami, S. M.
    Amjadi, J.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (06)
  • [22] Unicyclic graphs with extremal Kirchhoff index
    Yang, Yujun
    Jiang, Xiaoyan
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2008, 60 (01) : 107 - 120
  • [23] The Minimum Sombor Index for Unicyclic Graphs with Fixed Diameter
    Alidadi, Amene
    Parsian, Ali
    Arianpoor, Hassan
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2022, 88 (03) : 561 - 572
  • [24] Unicyclic graphs with extremal Lanzhou index
    Liu Qian-qian
    Li Qiu-li
    Zhang He-ping
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2022, 37 (03) : 350 - 365
  • [25] Unicyclic graphs with extremal Lanzhou index
    LIU Qian-qian
    LI Qiu-li
    ZHANG He-ping
    Applied Mathematics:A Journal of Chinese Universities, 2022, 37 (03) : 350 - 365
  • [26] On the Maximum Sombor Index of Unicyclic Graphs with a Fixed Girth
    Senthilkumar, B.
    Venkatakrishnan, Y. B.
    Balachandran, S.
    Ali, Akbar
    Alraqad, Tariq A.
    Hamza, Amjad E.
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [27] UNBALANCED UNICYCLIC AND BICYCLIC GRAPHS WITH EXTREMAL SPECTRAL RADIUS
    Belardo, Francesco
    Brunetti, Maurizio
    Ciampella, Adriana
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (02) : 417 - 433
  • [28] Unbalanced Unicyclic and Bicyclic Graphs with Extremal Spectral Radius
    Francesco Belardo
    Maurizio Brunetti
    Adriana Ciampella
    Czechoslovak Mathematical Journal, 2021, 71 : 417 - 433
  • [29] Unicyclic graphs with extremal Lanzhou index
    Qian-qian Liu
    Qiu-li Li
    He-ping Zhang
    Applied Mathematics-A Journal of Chinese Universities, 2022, 37 : 350 - 365
  • [30] Correction of the paper "Bicyclic graphs with extremal values of PI index"
    Ma, Gang
    Bian, Qiuju
    DISCRETE APPLIED MATHEMATICS, 2016, 207 : 132 - 133