Combinatorics and Graph Theory

   

Estrada Index of Graphs

Authors: Mohammed Kasim, Fumao Zhang, Qiang Wang

Suppose $G$ is a simple graph. The eigenvalues $\delta_1, \delta_2,\ldots, \delta_n$ of $G$ are the eigenvalues of its adjacency matrix $A$. The Estrada index of the graph $G$ is defined as $EE = EE(G) = \Sigma_{i=1}^{n} e^{\delta_i}$. In this paper the basic properties of $EE$ are investigated. Moreover, some lower and upper bounds for the Estrada index in terms of the number of vertices, edges and the Randic index are obtained. In addition, some relations between $EE$ and graph energy $E(G)$ are presented.

Comments: 6 Pages.

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[v1] 2013-08-05 21:42:13

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