Randic Spectral Radius and Randic Energy

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Date

2010

Journal Title

Journal ISSN

Volume Title

Publisher

Univ Kragujevac, Fac Science

Access Rights

info:eu-repo/semantics/closedAccess

Abstract

Let G be a simple connected graph with n vertices and let d(i) be the degree of its i-th vertex. The Randic matrix of G is the square matrix of order n whose (i, j)-entry is equal to 1/root d(i)d(j) di if the i-th and j-th vertex of G are adjacent, and zero otherwise. The Randic eigenvalues are the eigenvalues of the Rancho matrix. The greatest Randic eigenvalue is the Randic spectral radius of C. The Randic energy is the sum of the absolute values of the Randic eigenvalues. Lower bounds for Randic spectral radius and an upper bound for Randic energy are obtained. Graphs for which these bounds are best possible are characterized.

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Journal or Series

Match-Communications in Mathematical and in Computer Chemistry

WoS Q Value

Q1

Scopus Q Value

Q1

Volume

64

Issue

2

Citation

Bozkurt, Ş. B., Güngör, A. D., Gutman, I., (2010). Randic Spectral Radius and Randic Energy. Match-Communications in Mathematical and in Computer Chemistry, 64(2), 321-334.