AbstractIn an abelian group G, a more sums than differences (MSTD) set is a subset A⊂G such that |A+A|>|A−A|. We provide asymptotics for the number of MSTD sets in finite abelian groups, extending previous results of Nathanson. The proof contains an application of a recently resolved conjecture of Alon and Kahn on the number of independent sets in a regular graph
ABSTRACT. We explicitly construct infinite families of MSTD (more sums than differ-ences) sets, i.e....
On supplementary difference sets Given a finite abelian group V and subsets S1, S2,...,Sn of V, writ...
AbstractA subset S={s1,…,sk} of an Abelian group G is called an St-set of size k if all sums of t di...
In an abelian group G, a more sums than differences (MSTD) set is a subset A ⊂ G such that |A+A |>...
AbstractIn an abelian group G, a more sums than differences (MSTD) set is a subset A⊂G such that |A+...
Let A be a finite subset of the integers or, more generally, of any abelian group, written additivel...
Abstract We review the basic theory of More Sums Than Differences (MSTD) sets, specifically their ex...
Abstract. In this paper we study sum-free sets of order m in finite Abelian groups. We prove a gener...
ABSTRACT. A More Sums Than Differences (MSTD) set is a set of integers A ⊂ {0,..., n − 1} whose sums...
A More Sums Than Differences (MSTD) set is a set A for which |A+A |> |A−A|. Martin and O’Bryant p...
A more sums than differences (MSTD) set is a finite subset S of the integers such |S + S |> |S − ...
AbstractGiven a finite abelian group G, consider the complete graph on the set of all elements of G....
A more sums than differences (MSTD) set is a finite subset S of the integers such that |S + S |> ...
A subset S = {s 1 , . . . , s k of an Abelian group G is called an S t -set of size k if all su...
We call a subset A of the (additive) abelian group G t-independent if for all non-negative integers ...
ABSTRACT. We explicitly construct infinite families of MSTD (more sums than differ-ences) sets, i.e....
On supplementary difference sets Given a finite abelian group V and subsets S1, S2,...,Sn of V, writ...
AbstractA subset S={s1,…,sk} of an Abelian group G is called an St-set of size k if all sums of t di...
In an abelian group G, a more sums than differences (MSTD) set is a subset A ⊂ G such that |A+A |>...
AbstractIn an abelian group G, a more sums than differences (MSTD) set is a subset A⊂G such that |A+...
Let A be a finite subset of the integers or, more generally, of any abelian group, written additivel...
Abstract We review the basic theory of More Sums Than Differences (MSTD) sets, specifically their ex...
Abstract. In this paper we study sum-free sets of order m in finite Abelian groups. We prove a gener...
ABSTRACT. A More Sums Than Differences (MSTD) set is a set of integers A ⊂ {0,..., n − 1} whose sums...
A More Sums Than Differences (MSTD) set is a set A for which |A+A |> |A−A|. Martin and O’Bryant p...
A more sums than differences (MSTD) set is a finite subset S of the integers such |S + S |> |S − ...
AbstractGiven a finite abelian group G, consider the complete graph on the set of all elements of G....
A more sums than differences (MSTD) set is a finite subset S of the integers such that |S + S |> ...
A subset S = {s 1 , . . . , s k of an Abelian group G is called an S t -set of size k if all su...
We call a subset A of the (additive) abelian group G t-independent if for all non-negative integers ...
ABSTRACT. We explicitly construct infinite families of MSTD (more sums than differ-ences) sets, i.e....
On supplementary difference sets Given a finite abelian group V and subsets S1, S2,...,Sn of V, writ...
AbstractA subset S={s1,…,sk} of an Abelian group G is called an St-set of size k if all sums of t di...
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