Relationships between Randic index and other topological indices

被引:19
作者
Du, Z. [1 ,2 ]
Jahanbani, A. [3 ]
Sheikholeslami, S. M. [3 ]
机构
[1] South China Normal Univ, Sch Software, Foshan 528225, Guangdong, Peoples R China
[2] Zhaoqing Univ, Sch Math & Stat, Zhaoqing 526061, Peoples R China
[3] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran
关键词
Randic index; Zagreb indices; ABC index; Geometric-Arithmetic index; Augmented Zagreb index; CONNECTIVITY INDEX; MOLECULAR-ORBITALS; GRAPH-THEORY; BOUNDS; ENERGY;
D O I
10.22049/CCO.2020.26751.1138
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let G be a graph with vertex set V (G) and edge set E(G), and let d(u) Pdenote the degree of vertex u is an element of V (G). The Randic index of G is defined as R(G) = Sigma(uv is an element of E(G)) 1/root d(u)d(v). In this paper, we investigate the relationships between Randic index and several topological indices.
引用
收藏
页码:137 / 154
页数:18
相关论文
共 50 条
  • [1] On the Difference of Atom-Bond Connectivity Index and Randic Index with Some Topological Indices
    Hasni, Roslan
    Husin, Mohamad Nazri
    Movahedi, Fateme
    Gobithaasan, Rudrusamy
    Akhbari, Mohammad Hadi
    IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2022, 13 (01): : 19 - 32
  • [2] Relation Between the RSD and Other Topological Indices
    Narayankar, K.P.
    Das, P.K. Pandith Giri Mohan
    Geetha, B.M.
    IAENG International Journal of Applied Mathematics, 2024, 54 (07) : 1468 - 1475
  • [3] On the Randic index
    Liu, Huiqing
    Lu, Mei
    Tian, Feng
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2008, 44 (02) : 301 - 310
  • [4] On the Randic index
    Liu, HQ
    Lu, M
    Tian, F
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2005, 38 (03) : 345 - 354
  • [5] Bounds on Hosoya Index Involving Some Other Topological Indices
    Wen, Shu
    Yu, Zhengfeng
    ARS COMBINATORIA, 2013, 110 : 87 - 96
  • [6] ON GENERAL RANDIC AND GENERAL ZEROTH-ORDER RANDIC INDICES
    Zhou, Bo
    Vukicevic, Damir
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2009, 62 (01) : 189 - 196
  • [7] Randic index and information
    Gutman, Ivan
    Furtula, Boris
    Katanic, Vladimir
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2018, 15 (03) : 307 - 312
  • [8] Relations Between Sombor Index and some Degree-Based Topological Indices
    Filipovski, Slobodan
    IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2021, 12 (01): : 19 - 26
  • [9] Bounds on Randic indices
    Shi, Lingsheng
    DISCRETE MATHEMATICS, 2009, 309 (16) : 5238 - 5241
  • [10] On a relation between the Randic index and the chromatic number
    Li, Xueliang
    Shi, Yongtang
    DISCRETE MATHEMATICS, 2010, 310 (17-18) : 2448 - 2451