DOI: 10.1007/s40840-016-0306-6
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Further Results on Distance Estrada Index of Random Graphs

Yilun Shang

Simple graph
Eigenvalues and eigenvectors
Distance matrix
Let G be a simple connected graph on n vertices. The distance Estrada index DEE(G) of G is defined as the sum of \(e^{\lambda _i(D)}\) over \(1\le i\le n\), where \(\lambda _1(D),\lambda _2(D),\)\(\ldots ,\)\(\lambda _n(D)\) are the eigenvalues of its distance matrix D. In this paper, we establish lower and upper bounds to DEE(G) for almost all bipartite graphs G.


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