11 citations · 22 across the 9 of their papers we have counts for
10 papers
Kneser's theorem for upper Buck density and relative results
Francois Hennecart
Kneser's theorem in the integers asserts that denoting by the lower asymptotic density, if $\underline{\mathrm{d}}(X_1+\cdots+X_k)<\sum_{i=1}^k\underline{…
The Berge-Füredi conjecture on the chromatic index of hypergraphs with large hyperedges
Alain Bretto, Alain Faisant, Francois Hennecart
This paper is concerned with two conjectures which are intimately related. The first is a generalization to hypergraphs of Vizing's Theorem on the chromatic index of a graph and th…
Kneser's Theorem in -finite Abelian groups
Pierre-Yves Bienvenu, François Hennecart
Let be a -finite abelian group, i.e. where is a non decreasing sequence of finite subgroups. For any , let $\underlin…
On sum-product bases
Francois Hennecart, Gyan Prakash, E. Pramod
Besides various asymptotic results on the concept of sum-product bases in , we consider by probabilistic arguments the existence of thin sets of integers such…
On the density of sumsets and product sets
Norbert Hegyvári, François Hennecart, Péter Pál Pach
In this paper some links between the density of a set of integers and the density of its sumset, product set and set of subset sums are presented.
Conditional expanding bounds for two-variables functions over prime fields
Norbert Hegyvári, François Hennecart
In this paper we provide in $\bFp$ expanding lower bounds for two variables functions in connection with the product set or the sumset. The sum-product problem has been hu…
A Structure result for bricks in Heisenberg groups
Norbert Hegyvári, François Hennecart
We show that for a sufficiently big \textit{brick} of the -dimensional Heisenberg group over the finite field , the product set contains…
Distribution of residues in approximate subgroups of
Norbert Hegyvári, Francois Hennecart
We extend a result due to Bourgain on the uniform distribution of residues by proving that subsets of the type is equidistributed (as tends to infinity) where …
A note on Freiman models in Heisenberg groups
Norbert Hegyvári, François Hennecart
Green and Ruzsa recently proved that for any , any small squaring set in a (multiplicative) abelian group, i.e. , has a Freiman -model: it means that…
Iterated compositions of linear operations on sets of positive upper density
Norbert Hegyvári, Francois Hennecart, Alain Plagne
Starting from a result of Stewart, Tijdeman and Ruzsa on iterated difference sequences, we introduce the notion of iterated compositions of linear operations. We prove a general re…