9 citations · 58 across the 26 of their papers we have counts for
27 papers
Large restricted sumsets in general abelian group
Yahya ould Hamidoune, Susana C. Lopez, Alain Plagne
Let A, B and S be three subsets of a finite Abelian group G. The restricted sumset of A and B with respect to S is defined as A\wedge^{S} B= {a+b: a in A, b in B and a-b not in S}.…
Subset sums in abelian groups
Eric Balandraud, Benjamin Girard, Simon Griffiths +1
Denoting by Sigma(S) the set of subset sums of a subset S of a finite abelian group G, we prove that |Sigma(S)| >= |S|(|S|+2)/4-1 whenever S is symmetric, |G| is odd and Sigma(S) i…
k-Sums in abelian groups
Benjamin Girard, Simon Griffiths, Yahya Ould Hamidoune
Given a finite subset A of an abelian group G, we study the set k \wedge A of all sums of k distinct elements of A. In this paper, we prove that |k \wedge A| >= |A| for all k in {2…
Hyper-atoms applied to the critical pair Theory
Y. O. Hamidoune
We introduce the notion of a hyper-atom and prove a basic property of this object. This new method allows to improve several results in the classical critical pair theory including…
Topology of Cayley Graphs Applied to Inverse Additive Problems
Yahya Ould Hamidoune
We present proofs of the basic isopermetric structure theory, obtaining some new simplified proofs. As an application, we obtain simple descriptions for subsets of an abelian g…
On vosperian and superconnected vertex-transitive digraphs
Y. O. Hamidoune, A. Lladó, S. C. López
We investigate the structure of a digraph having a transitive automorphism group where every cutset of minimal cardinality consists of all successors or all predecessors of some ve…