EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 83(97), pp. 1–7 (2008)

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LOWER BOUNDS FOR ESTRADA INDEX

Ivan Gutman

Faculty of Science, University of Kragujevac, Serbia

Abstract: If $G$ is an $(n,m)$-graph whose spectrum consists of the numbers $\lambda_1,\lambda_2,\ldots,\lambda_n$, then its Estrada index is $\operatname{EE}(G)=\sum_{i=1}^n e^{\lambda_i}$. We establish lower bounds for $\operatorname{EE}(G)$ in terms of $n$ and $m$.

Classification (MSC2000): 05C50; 05C35

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Electronic fulltext finalized on: 21 Oct 2008. This page was last modified: 10 Dec 2008.

© 2008 Mathematical Institute of the Serbian Academy of Science and Arts
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