Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimating the distance Estrada index   Suppose $G$ is a simple graph on $n$ vertices. The $D$-eigenvalues
$\mu_1,\mu_2,\cdots,\mu_n$ of $G$ are the eigenvalues of its distance matrix.
The distance Estrada index of $G$ is defined as $DEE(G)=\sum_{i=1}^ne^{\mu_i}$.
In this paper, we establish new lower and upper bounds for $DEE(G)$ in terms of
the Wiener index $W(G)$. We also compute the distance Estrada index for some
concrete graphs including the buckminsterfullerene $C_{60}$.

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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: stat