Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Independent Domination in Directed Graphs   In this paper we initialize the study of independent domination in directed
graphs. We show that an independent dominating set of an orientation of a graph
is also an independent dominating set of the underlying graph, but that the
converse is not true in general. We then prove existence and uniqueness
theorems for several classes of digraphs including orientations of complete
graphs, paths, trees, DAGs, cycles, and bipartite graphs. We also provide the
idomatic number for special cases of some of these families of digraphs.

10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn