4 citations · 4 across the 5 of their papers we have counts for
6 papers
Characteristic adjacency matrix associated with a hypergraph
Alain Bretto, Alain Faisant
We define a new matrix associated with a hypergraph. A study of this matrix is carried out, in particular the study of its spectrum, which shows the relevance of the construction.…
Linear representation of groups associated to graphs
Alain Bretto, Alain Faisant, Neda Moradi +1
In this article, we introduce a group linear representation associated to a graph. We study this representation as well as the canonical decomposition of the associated module. A c…
About Berge-Füredi's conjecture on the chromatic index of hypergraphs
Alain Bretto, Alain Faisant, François Hennecart
We show that the chromatic index of a hypergraph satisfies Berge-Füredi conjectured bound under certain hypotheses o…
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…
On the Padovan sequence
Alain Faisant
The aim of this article is to give some properties of the so-called Padovan sequence defined by t…
Additive Complements for a given Asymptotic Density
Alain Faisant, Georges Grekos, Ram Krishna Pandey +1
{The first version of this text was written and submitted to a journal on April, 12, 2018. This second version was submitted on April, 9, 2019.} We investigate the existence of sub…