Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Locating-Dominating Sets of Functigraphs   A locating-dominating set of a graph $G$ is a dominating set of $G$ such that
every vertex of $G$ outside the dominating set is uniquely identified by its
neighborhood within the dominating set. The location-domination number of $G$
is the minimum cardinality of a locating-dominating set in $G$. Let $G_{1}$ and
$G_{2}$ be the disjoint copies of a graph $G$ and $f:V(G_{1})\rightarrow
V(G_{2})$ be a function. A functigraph $F^f_{G}$ consists of the vertex set
$V(G_{1})\cup V(G_{2})$ and the edge set $E(G_{1})\cup E(G_{2})\cup
\{uv:v=f(u)\}$. In this paper, we study the variation of the
location-domination number in passing from $G$ to $F^f_{G}$ and find its sharp
lower and upper bounds. We also study the location-domination number of
functigraphs of the complete graphs for all possible definitions of the
function $f$. We also obtain the location-domination number of functigraphs of
a family of spanning subgraph of the complete graphs.

19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics