Sets with more sums than differences

Abstract

Let A be a finite subset of the integers or, more generally, of any abelian group, written additively. The set A has "more sums than differences" if |A+A|>|A-A|. A set with this property is called an MSTD set. This paper gives explicit constructions of families of MSTD sets of integers.

This is a lecture delivered at the SIAM Conference on Discrete Mathematics in Victoria, British Columbia, on June 27, 2006. Some references have been added. LaTex; 19 pages

Cited by in corpus (5)

• Constructing MSTD Sets Using Bidirectional Ballot Sequences
• Sets Characterized by Missing Sums and Differences
• Binary linear forms over finite sets of integers
• Explicit constructions of infinite families of MSTD sets
• Counting MSTD Sets in Finite Abelian Groups