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A generalization of Kneser's Addition Theorem
Authors:Matt DeVos  Bojan Mohar
Affiliation:Department of Mathematics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada
Abstract:
Let A=(A1,…,Am) be a sequence of finite subsets from an additive abelian group G. Let Σ?(A) denote the set of all group elements representable as a sum of ? elements from distinct terms of A, and set View the MathML source. Our main theorem is the following lower bound:
View the MathML source
Keywords:Kneser's Addition Theorem   Cauchy-Davenport theorem   Erd?s-Ginzburg-Ziv theorem   Matroid   Sumset   Group   Additive number theory
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