Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: More on the normalized Laplacian Estrada index   Let $G$ be a simple graph of order $N$. The normalized Laplacian Estrada
index of $G$ is defined as $NEE(G)=\sum_{i=1}^Ne^{\lambda_i}$, where
$\lambda_1,\lambda_2,\cdots,\lambda_N$ are the normalized Laplacian eigenvalues
of $G$. In this paper, we give a tight lower bound for $NEE$ of general graphs.
We also calculate $NEE$ for a class of treelike fractals, which contain some
classical chemical trees as special cases. It is shown that $NEE$ scales
linearly with the order of the fractal, in line with a best possible lower
bound for connected bipartite graphs.

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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph