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On sums of sets

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  • UserKatalin Gyarmati (Eotvos Lorand, Budapest)
  • ClockWednesday 18 February 2009, 14:15-15:15
  • HouseMR12, CMS.

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For finite sets of integers A1,..., An we study the cardinality of the n-fold sumset A1+...An compared to those of (n-1)-fold sumsets A1...A{i-1}+A{i+1}...+An. We prove a superadditivity and a submultiplicativity property for these quantities. We also examine the case when the addition of elements is restricted to an addition graph between the sets.

This talk is part of the Discrete Analysis Seminar series.

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