The Estrada index of a simple connected graph \(G\) of order \(n\) is defined as \(EE(G) = \sum_{i=1}^{n} e^{\lambda_i}\), where \(\lambda_1, \lambda_2, \ldots, \lambda_n\) are the eigenvalues of the adjacency matrix of \(G\). In this paper, we characterize all pentacyclic graphs of order \(n\) with maximal Estrada index.
Citation
Nader Jafari Rad, Akbar Jahanbani, Roslan Hasni. Pentacyclic Graphs with Maximal Estrada Index[J], Ars Combinatoria, Volume 133. 133-145. .