Hassan Haghighi

activity

20092024

k

-Cohen-Macaulay complexes

4 citations · 8 across the 8 of their papers we have counts for

collaborators

Showing 2010Show all

2 papers · 1 filter

math.AC2010★ 2 cited

Sequentially $S_{r}$ simplicial complexes and sequentially $S_{2}$ graphs

Hassan Haghighi, Naoki Terai, Siamak Yassemi +1

We introduce sequentially $S_{r}$ modules over a commutative graded ring and sequentially $S_{r}$ simplicial complexes. This generalizes two properties for modules and simplicial compl…

math.AC2010★ 2 cited

Bipartite $S_{2}$ graphs are Cohen-Macaulay

Hassan Haghighi, Siamak Yassemi, Rahim Zaare-Nahandi

In this paper we show that if the Stanley-Reisner ring of the simplicial complex of independent sets of a bipartite graph $G$ satisfies Serre's condition $S_{2}$ , then $G$ is Cohen-M…

Sequentially Sr​ simplicial complexes and sequentially S2​ graphs

Bipartite S2​ graphs are Cohen-Macaulay

Sequentially $S_{r}$ simplicial complexes and sequentially $S_{2}$ graphs

Bipartite $S_{2}$ graphs are Cohen-Macaulay