the Higher Randic Index

被引：0
|
作者：
Alizade, Yaser [1 ]
机构：
[1] Hakim Sabzevari Univ, Dept Math, Sabzevar, Iran
来源：
IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY | 2013年 / 4卷 / 02期
关键词：
Randic index; higher Randic index; coronene/circumcoronene;
D O I：
暂无
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
Let G be a simple graph with vertex set V(G) = {v(1), v(2),...v(n)} For every vertex v(i), delta(v(i)) represents the degree of vertex v(i) The h-th order of Randic index, R-h is defined as the sum of terms 1/root delta(v(i1)), delta(v(i2))...delta(v(ih+1)) over all paths of length h contained (as sub graphs) in G. In this paper, some bounds for higher Randic index and a method for computing the higher Randic index of a simple graph is presented. Also, the higher Randic index of coronene/circumcoronene is computed.
引用
收藏
页码：257 / 263
页数：7
相关论文
共 50 条
  • [1] Estimating the higher-order Randic index
    Yero, Ismael G.
    Rodriguez-Velazquez, Juan A.
    Gutman, Ivan
    CHEMICAL PHYSICS LETTERS, 2010, 489 (1-3) : 118 - 120
  • [2] On the Randic index
    Liu, HQ
    Lu, M
    Tian, F
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2005, 38 (03) : 345 - 354
  • [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
    Delorme, C
    Favaron, O
    Rautenbach, D
    DISCRETE MATHEMATICS, 2002, 257 (01) : 29 - 38
  • [5] Randic Energy and Randic Estrada Index of a Graph
    Bozkurt, S. Burcu
    Bozkurt, Durmus
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2012, 5 (01): : 88 - 96
  • [6] Randic index and information
    Gutman, Ivan
    Furtula, Boris
    Katanic, Vladimir
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2018, 15 (03) : 307 - 312
  • [7] On the Randic index of graphs
    Dalfo, C.
    DISCRETE MATHEMATICS, 2019, 342 (10) : 2792 - 2796
  • [8] Randic Index and Energy
    Allem, Luiz Emilio
    Braga, Rodrigo O.
    Pastine, Adrian
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2020, 83 (03) : 611 - 622
  • [9] On the Randic index of cacti
    Lu, Mei
    Zhang, Lianzhu
    Tian, Feng
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2006, 56 (03) : 551 - 556
  • [10] A survey on the Randic index
    Li, Xueliang
    Shi, Yongtang
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2008, 59 (01) : 127 - 156
12345