Bounds of the Estrada index of graphs |
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| Authors: | Jian-ping Liu Bo-lian Liu |
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| Affiliation: | [1]College of Mathematics and Computer Science, Fuzhou University, Fujian, 350108, China [2]School of Mathematical Sciences, South China Normal University, Cuangzhou, 510631, China |
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| Abstract: | Let G be a graph of order n and let λ 1, λ 2, …, λ n be its eigenvalues. The Estrada index [2] of G is defined as EE = EE(G) = $sumlimits_{i = 1}^n {e^{lambda _i } } $sumlimits_{i = 1}^n {e^{lambda _i } } . In this paper, new bounds for EE are established, as well as some relations between EE and graph energy E. |
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| Keywords: | Graph spectrum Estrada index bound energy （of graph）. |
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