Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs   In this paper, we obtain a comparison of Steklov eigenvalues and Laplacian
eigenvalues on graphs and discuss its rigidity. As applications of the
comparison of eigenvalues, we obtain Lichnerowicz-type estimates and some
combinatorial estimates for Steklov eigenvalues on graphs.

1
The categories of this paper are: cs
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: stat
22
The categories of this paper are: chao-dyn