7 citations · 8 across the 2 of their papers we have counts for
2 papers
math.CO2024★ 1 cited
Simplicial complexes with many facets are vertex decomposable
Anton Dochtermann, Ritika Nair, Jay Schweig +2
Suppose is a pure simplicial complex on vertices having dimension and let be its codimension in the simplex. Terai and Yoshida proved that if the number of…
math.AC2021★ 7 cited
On the Lefschetz Property for quotients by monomial ideals containing squares of variables
Hailong Dao, Ritika Nair
Let be an (abstract) simplicial complex on vertices. One can define the Artinian monomial algebra $A(Δ) = \Bbbk[x_1, \ldots, x_n]/ \langle x_1^2, \ldots, x_n^2, I_Δ \rangle…