Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gram matrices of reproducing kernel Hilbert spaces over graphs   In this paper, we introduce the notion of reproducing kernel Hilbert spaces
for graphs and the Gram matrices associated with them. Our aim is to
investigate the Gram matrices of reproducing kernel Hilbert spaces. We provide
several bounds on the entries of the Gram matrices of reproducing kernel
Hilbert spaces and characterize the graphs which attain our bounds.

35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn