Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties for CD Inequalities with Unbounded Laplacians   The CD equalities were introduced to imply the gradient estimate of laplace
operator on graphs. This article is based on the unbounded Laplacians, and
finally concludes some equivalent properties of the CD(K,$\infty$)and CD(K,n).

35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th