Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monotonicity of Steklov eigenvalues on graphs and applications   In this paper, we obtain monotonicity of Steklov eigenvalues on graphs which
as a special case on trees extends the results of He-Hua [arXiv: 2103.07696] to
higher Steklov eigenvalues and gives affirmative answers to two problems
proposed in He-Hua [arXiv: 2103.07696]. As applications of the monotonicity of
Steklov eigenvalues, we obtain some estimates for Steklov eigenvalues on trees
generalizing the isodiametric estimate for the first positive Steklov
eigenvalues on trees in He-Hua [arXiv:2011.11014].

30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th