Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subspace Sum Graph of a Vector Space   In this paper we introduce a graph structure, called subspace sum graph
$\mathcal{G}(\mathbb{V})$ on a finite dimensional vector space $\mathbb{V}$
where the vertex set is the collection of non-trivial proper subspaces of a
vector space and two vertices $W_1,W_2$ are adjacent if $W_1 + W_2=\mathbb{V}$.
The diameter, girth, connectivity, maximal independent sets, different variants
of domination number, clique number and chromatic number of
$\mathcal{G}(\mathbb{V})$ are studied. It is shown that two subspace sum graphs
are isomorphic if and only if the base vector spaces are isomorphic. Finally
some properties of subspace sum graph are studied when the base field is
finite.

33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an