22 citations · 65 across the 17 of their papers we have counts for
4 papers · 1 filter
Cohen-Macaulay -partite graphs with minimal clique cover
Asghar Madadi, Rashid Zaare-Nahandi
In this note, we give some necessary conditions for an -partite graph such that the edge ring of the graph is Cohen-Macaulay. It is proved that if is an -partite Cohen-Ma…
Regularity of edge ideal of a graph
Marcel Morales, Ali Akbar Yazdan Pour, Rashid Zaare-Nahandi
In this paper, we introduce some reduction processes on graphs which preserve the regularity of related edge ideals. As a consequence, an alternative proof for the theorem of R. Fr…
Regularity and Free Resolution of Ideals which are Minimal to -linearity
Marcel Morales, Ali Akbar Yazdan Pour, Rashid Zaare-Nahandi
Toward a partial classification of monomial ideals with -linear resolution, in this paper, some classes of -uniform clutters which do not have linear resolution, but every pr…
Monomial ideals with 3-linear resolutions
Marcel Morales, Abbas Nasrollah Nejad, Ali Akbar Yazdan Pour +1
In this paper, we study Cstelnuovo-Mumford regularity of square-free monomial ideals generated in degree 3. We define some operations on the clutters associated to such ideals and…