Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Protection of graphs with emphasis on Cartesian product graphs   In this paper we study the weak Roman domination number and the secure
domination number of a graph. In particular, we obtain general bounds on these
two parameters and, as a consequence of the study, we derive new inequalities
of Nordhaus-Gaddum type involving secure domination and weak Roman domination.
Furthermore, the particular case of Cartesian product graphs is considered.

33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat