1 citations · 1 across the 3 of their papers we have counts for
8 papers
Some interpretations for algebraic invariants of edge ideals of hypergraphs via combinatorial invariants
Somayeh Moradi, Fahimeh Khosh-Ahang Ghasr
The present work is concerned with characterizing some algebraic invariants of edge ideals of hypergraphs. To this aim, firstly, we introduce some kinds of combinatorial invariants…
Sortable simplicial complexes and -independence ideals of proper interval graphs
Jürgen Herzog, Fahimeh Khosh-Ahang, Somayeh Moradi +1
We introduce the notion of sortability and -sortability for a simplicial complex and study the graphs for which their independence complexes are either sortable or -sortable.…
A family of monomial ideals with the persistence property
Somayeh Moradi, Masoomeh Rahimbeigi, Fahimeh Khosh-Ahang +1
In this paper we introduce a family of monomial ideals with the persistence property. Given positive integers and , we consider the monomial ideal generated b…
Matchings in hypergraphs and Castelnuovo-Mumford regularity
Fahimeh Khosh-Ahang, Somayeh Moradi
In this paper, we introduce and generalize some combinatorial invariants of graphs such as matching number and induced matching number to hypergraphs. Then we compare them together…
Expansion of a simplicial complex
Somayeh Moradi, Fahimeh Khosh-Ahang
For a simplicial complex , we introduce a simplicial complex attached to , called the expansion of , which is a natural generalization of the notion of expansion in graph…
Regularity and projective dimension of edge ideal of -free vertex decomposable graphs
Fahimeh Khosh-Ahang, Somayeh Moradi
In this paper, we explain the regularity, projective dimension and depth of edge ideal of some classes of graphs in terms of invariants of graphs. We show that for a -free ver…
Codismantlability and projective dimension of the Stanley-Reisner ring of special hypergraphs
Fahimeh Khosh-Ahang, Somayeh Moradi
In this paper firstly, we generalize the concept of codismantlable graphs to hypergraphs and show that some special vertex decomposable hypergraphs are codismantlable. Then we gene…
On vertex decomposable simplicial complexes and their Alexander duals
Somayeh Moradi, Fahimeh Khosh-Ahang
In this paper we study the Alexander dual of a vertex decomposable simplicial complex. We define the concept of a vertex splittable ideal and show that a simplicial complex is…