3 papers
math.CO2026
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.…
math.RT2026
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…
math.AC2024
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…