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arXiv · 1511.06132

Bounds of distance Estrada index of graphs

Yilun Shang
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Abstract

Let $λ_1,λ_2,\cdots,λ_n$ be the eigenvalues of the distance matrix of a connected graph $G$. The distance Estrada index of $G$ is defined as $DEE(G)=\sum_{i=1}^ne^{λ_i}$. In this note, we present new lower and upper bounds for $DEE(G)$. In addition, a Nordhaus-Gaddum type inequality for $DEE(G)$ is given.

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Yilun Shang. 2015-11-19. Bounds of distance Estrada index of graphs. https://arxiv.org/abs/1511.06132

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