Katalin Gyarmati

most citedA superadditivity and submultiplicativity property for cardinalities of sumsets

4 citations · 4 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2008

Plunnecke's inequality for different summands

Katalin Gyarmati, Mate Matolcsi, Imre Z. Ruzsa

The aim of this paper is to prove a general version of Plünnecke's inequality. Namely, assume that for finite sets $A$ , $B_{1}, ... B_{k}$ we have information on the size of the sumset…

math.CO2007★ 4 cited

A superadditivity and submultiplicativity property for cardinalities of sumsets

Katalin Gyarmati, Imre Z. Ruzsa, Mate Matolcsi

For finite sets of integers $A_{1}, A_{2} ... A_{n}$ we study the cardinality of the $n$ -fold sumset $A_{1} + ... + A_{n}$ compared to those of $n - 1$ -fold sumsets $A_1+... +A_{i-1}+A_{i+1}+...…