Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inner-Outer Curvatures, Ricci-Ollivier Curvature and Volume Growth of
  Graphs   We are concerned with the study of different notions of curvature on graphs.
We show that if a graph has stronger inner-outer curvature growth than a model
graph, then it has faster volume growth too. We also study the relationhips of
volume growth with other kind of curvatures, such as the Ollivier-Ricci
curvature.

36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org