Abstract
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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Acknowledgments
This work is supported in part by the National Natural Science Foundation of China (11505127), the Shanghai Pujiang Program (15PJ1408300), and the Program for Young Excellent Talents in Tongji University (2014KJ036).
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Communicated by Rosihan M. Ali.
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Shang, Y. Further Results on Distance Estrada Index of Random Graphs. Bull. Malays. Math. Sci. Soc. 41, 537–544 (2018). https://doi.org/10.1007/s40840-016-0306-6
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DOI: https://doi.org/10.1007/s40840-016-0306-6