Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Domination number in block designs   Let $G=(V,E)$ be a simple connected graph. A set of vertices $S\subseteq V$
is said to be a dominating set if for any vertex in $V\setminus S$ is adjacent
to at least one vertex in $S$. The domination number $\gamma(G)$ of $G$ is the
minimum cardinality among all such sets. In this paper, we obtain some results
on the domination number of the incidence graphs of combinatorial designs. In
particular, we prove a conjecture and disprove another conjecture in a recent
paper by Goldberg, Rajendraprasad and Mathew. We also prove a third conjecture
by the same authors for block-transitive symmetric designs.

31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol