Counting MSTD Sets in Finite Abelian Groups

Details Counting MSTD Sets in Finite Abelian Groups Counting MSTD Sets in Finite Abelian Groups

2009-11-12

arxiv.org/abs/0911.2288v2

Journal of Number Theory. Volume 130, Issue 10, October 2010, Pages 2308-2322

Mathematics

Combinatorics

17 pages

Scientific paper

10.1016/j.jnt.2010.06.001

In an abelian group G, a more sums than differences (MSTD) set is a subset A
of 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.

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