Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The chromatic distinguishing index of certain graphs   The distinguishing index of a graph $G$, denoted by $D'(G)$, is the least
number of labels in an edge labeling of $G$ not preserved by any non-trivial
automorphism. The distinguishing chromatic index $\chi'_D (G)$ of a graph $G$
is the least number $d$ such that $G$ has a proper edge labeling with $d$
labels that is preserved only by the identity automorphism of $G$. In this
paper we compute the distinguishing chromatic index for some specific graphs.
Also we study the distinguishing chromatic index of corona product and join of
two graphs.

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat