3 citations · 8 across the 5 of their papers we have counts for
5 papers · 1 filter
Componentwise linearity of ideals arising from graphs
V. Crispin Quinonez, E. Emtander
Let be a simple undirected graph on vertices. Francisco and Van Tuyl have shown that if is chordal, then is componentwise line…
Poincaré series of some hypergraph algebras
Eric Emtander, Ralf Fröberg, Fatemeh Mohammadi +1
A hypergraph , where and defines a hypergraph algebra . All our hypergr…
Some algebraic properties of hypergraphs
Eric Emtander, Fatemeh Mohammadi, Somayeh Moradi
We consider Stanley--Reisner rings $k[x_1,...,x_n]/I(\mc{H})$ where $I(\mc{H})$ is the edge ideal associated to some particular classes of hypergraphs. For instance, we consider hy…
A class of hypergraphs that generalizes chordal graphs
Eric Emtander
In this paper we introduce a class of hypergraphs that we call chordal. We also extend the definition of triangulated hypergraphs, given in \cite{VT}, so that a triangulated hyperg…
Betti numbers of hypergraphs
Eric Emtander
In this paper we study some algebraic properties of hypergraphs, in particula their Betti numbers. We define some different types of complete hypergraphs, which to the best of our…