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18 April 2024
 
  » arxiv » 1204.3686

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Maximum Estrada Index of Bicyclic Graphs
Long Wang ; Yi-Zheng Fan ; Yi Wang ;
Date 17 Apr 2012
AbstractLet $G$ be a simple graph of order $n$, let $lambda_1(G),lambda_2(G),...,lambda_n(G)$ be the eigenvalues of the adjacency matrix of $G$. The Esrada index of $G$ is defined as $EE(G)=sum_{i=1}^{n}e^{lambda_i(G)}$. In this paper we determine the unique graph with maximum Estrada index among bicyclic graphs with fixed order.
Source arXiv, 1204.3686
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