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The structure of sets with few sums along a graph
Authors:György Elekes  Imre Z Ruzsa
Institution:a Department of Computer Science, Eötvös University, 1117. Pázmány 1/C, Budapest, Hungary
b Alfréd Rényi Institute of Mathematics, Budapest, Pf. 127, H-1364, Hungary
Abstract:We present common generalizations of some structure results of Freiman, Ruzsa, Balog-Szemerédi and Laczkovich-Ruzsa. We also give some applications to Combinatorial Geometry and Algebra, some of which generalize the aforementioned structure results even further.
Keywords:Graph  Sumset  Freiman
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