Extremal values of the Sombor index in unicyclic and bicyclic graphs

被引:77
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
  • [31] 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
  • [32] Extremal Values on the Kirchhoff Index of the Line Graph of Unicyclic Networks
    Sardar, Muhammad Shoaib
    Xu, Shou-Jun
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2024, : 1523 - 1544
  • [33] On least distance eigenvalues of trees, unicyclic graphs and bicyclic graphs
    Lin, Hongying
    Zhou, Bo
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 443 : 153 - 163
  • [34] On the Sombor index of graphs
    Rerti, Tamars
    Doslic, Tomislav
    Ali, Akbar
    CONTRIBUTIONS TO MATHEMATICS, 2021, 3 : 11 - 18
  • [35] Extremal Properties of Kirchhoff Index and Degree Resistance Distance of Unicyclic Graphs
    Qi, Xuli
    Du, Zhibin
    Zhang, Xutao
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2020, 84 (03) : 671 - 690
  • [36] Characterization of Extremal Unicyclic Graphs with Fixed Leaves Using the Lanzhou Index
    Alrowaili, Dalal Awadh
    Zafar, Farwa
    Javaid, Muhammad
    SYMMETRY-BASEL, 2022, 14 (11):
  • [37] PI index of bicyclic graphs
    Chithrabhanu, Manju Sankaramalil
    Somasundaram, Kanagasabapathi
    COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2024, 9 (03) : 425 - 436
  • [38] Bicyclic graphs with minimal values of the detour index
    Vukicevic, Zana Kovijanic
    Bozovic, Vladimir
    FILOMAT, 2012, 26 (06) : 1263 - 1272
  • [39] Extremal Degree Distance Of Bicyclic Graphs
    Chen, Shubo
    Liu, Weijun
    Xia, Fangli
    UTILITAS MATHEMATICA, 2013, 90 : 149 - 169
  • [40] GENERALIZED DEGREE DISTANCE OF TREES, UNICYCLIC AND BICYCLIC GRAPHS
    Hamzeh, Asma
    Iranmanesh, Ali
    Hossein-Zadeh, Samaneh
    Diudea, Mircea V.
    STUDIA UNIVERSITATIS BABES-BOLYAI CHEMIA, 2012, 57 (04): : 73 - 85