Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some results of domination and total domination in the direct product of
  two fuzzy graphs   In this article we give a new definition of direct product of two arbitrary
fuzzy graphs. We define the concepts of domination and total domination in this
new product graph. We obtain an upper bound for the total domination number of
the product fuzzy graph. Further we define the concept of total
alpha-domination number and derive a lower bound for the total domination
number of the product fuzzy graph in terms of the total alpha-domination number
of the component graphs. A lower bound for the domination number of the same
has also been found.

28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat