Normalized Laplacian eigenvalues;
general Randic index;
CONNECTIVITY INDEX;
D O I:
10.1216/RMJ-2010-40-2-713
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Let G be a simple connected graph. The general Randic index R-alpha(G) of G is defined as R-alpha(G) = Sigma(uv is an element of E(G))(d(u)d(v))(alpha). In this paper, we present upper and lower bounds for R-1(G) in terms of the normalized Laplacian eigenvalues of a graph.
机构:
Hunan Normal Univ, Coll Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R ChinaHunan Normal Univ, Coll Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China
Deng, Hanyuan
Balachandran, Selvaraj
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h-index: 0
机构:
Univ Free State, Dept Math & Appl Math, Bloemfontein, South Africa
SASTRA Deemed Univ, Sch Arts Sci & Humanities, Dept Math, Thanjavur, IndiaHunan Normal Univ, Coll Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China
Balachandran, Selvaraj
Elumalai, Suresh
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h-index: 0
机构:
Univ Haifa, Dept Math, Haifa, IsraelHunan Normal Univ, Coll Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China