Relations Between Sombor Index and some Degree-Based Topological Indices

被引：27
作者：
Filipovski, Slobodan [1 ]
机构：
[1] Univ Primorska, Famnit, Glagoljaska 8, Koper, Slovenia
来源：
IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY | 2021年 / 12卷 / 01期
关键词：
Sombor index; Zagreb indices; Randic index; Forgotten index; free graphi-Tringle;
D O I：
10.22052/ijmc.2021.240385.1533
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
In [13] Gutman introduced a novel graph invariant called Sombor index SO, defined as SO(G) = Sigma eij is an element of E(G) root deg(v(i))(2) + deg(v(j))(2). In this paper we provide relations between Sombor index and some degree-based topological indices: Zagreb indices, Forgotten index and Randic index. Similar relations are established in the class of triangle-free graphs. (C) 2021 University of Kashan Press. All rights reserved
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收藏
页码：19 / 26
页数：8
相关论文
共 21 条
  • [1] Ali A, 2018, MATCH-COMMUN MATH CO, V80, P5
  • [2] Borovicanin B, 2017, MATCH-COMMUN MATH CO, V78, P17
  • [3] Das K. C., 2003, Kragujevac J. Math, V25, P19
  • [4] Maximizing the sum of the squares of the degrees of a graph
    Das, KC
    [J]. DISCRETE MATHEMATICS, 2004, 285 (1-3) : 57 - 66
  • [5] Zagreb indices of graphs
    Das, Kinkar Ch
    Xu, Kexiang
    Nam, Junki
    [J]. FRONTIERS OF MATHEMATICS IN CHINA, 2015, 10 (03) : 567 - 582
  • [6] Das KC, 2010, MATCH-COMMUN MATH CO, V63, P433
  • [7] New upper bounds on Zagreb indices
    Das, Kinkar Ch.
    Gutman, Ivan
    Zhou, Bo
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2009, 46 (02) : 514 - 521
  • [8] Fath-Tabar GH, 2011, MATCH-COMMUN MATH CO, V65, P79
  • [9] Filipovski S, 2021, MATCH-COMMUN MATH CO, V85, P303
  • [10] A forgotten topological index
    Furtula, Boris
    Gutman, Ivan
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2015, 53 (04) : 1184 - 1190
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