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math.CO2006
On the size of spheres of relations with a transitive group of automorphisms
Yahya Ould Hamidoune
Let be a point-transitive reflexive relation. Let and put Also assume . Then $$ |Γ^{j} (v)\setminus Γ^{j-1} (v)| \ge r-1.$…
math.NT2006★ 6 cited
On the critical pair theory in abelian groups : Beyond Chowla's Theorem
Yahya Ould Hamidoune, Oriol Serra, Gilles Zemor
We obtain critical pair theorems for subsets S and T of an abelian group such that |S+T| < |S|+|T|+1. We generalize some results of Chowla, Vosper, Kemperman and a more recent resu…