9 citations · 10 across the 7 of their papers we have counts for
7 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…
On the strong persistence property and normally torsion-freeness of square-free monomial ideals
Alain Bretto, Mehrdad Nasernejad, Jonathan Toledo
In this paper, we first show that any square-free monomial ideal in has the strong persistence property. Next we will provide a criterion for a minimal…
Cayley graphs and G-graphs of Gyro-groups
Neda Moradi, Gholam Hossein Fath-Tabara, Alain Bretto
In this paper the structure of the Cayley graphs and G-graphs of some gyro-groups are studied and some properties of them will be proved. Moreover we review some special gyro-group…
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…