New results on the Estrada index of graphs

Akbar Jahanbani, Seyed Mahmoud Sheikholeslami

Abstract


Let G be a graph of order n and let λ1,λ2,...,λnbe the eigenvalues of G. The Estrada index
of G, denoted by EE(G), is the sum of the terms eλi. In this paper, new lower and upper bounds for the
Estrada index are established. Moreover, some of our bounds are extensions of the well-known bounds
on the Estrada index of graphs


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