Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restricted-sum-dominant sets   Let $A$ be a nonempty finite subset of an additive abelian group $G$. Define
$A + A := \{a + b : a, b \in A\}$ and $A \dotplus A := \{a + b : a, b \in
A~\text{and}~ a \neq b\}$. The set $A$ is called a {\em sum-dominant (SD) set}
if $|A + A| > |A - A|$, and it is called a {\em restricted sum-domonant (RSD)
set} if $|A \dotplus A| > |A - A|$. In this paper, we prove that for infinitely
many positive integers $k$, there are infinitely many RSD sets of integers of
cardinality $k$. We also provide an explicit construction of infinite sequence
of RSD sets.

25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph