5 citations · 6 across the 8 of their papers we have counts for
6 papers · 1 filter
Cohen-Macaulay permutation graphs
P. V. Cheri, Deblina Dey, Akhil K +2
In this article, we characterize Cohen-Macaulay permutation graphs. In particular, we show that a permutation graph is Cohen-Macaulay if and only if it is well-covered and there ex…
Green-Lazarsfeld property for Segre product of Hibi rings
Dharm Veer
In this article, we prove that if a Hibi ring satisfies property , then its Segre product with a polynomial ring in finitely many variables also satisfies property . When…
Polyocollection ideals and primary decomposition of polyomino ideals
Carmelo Cisto, Francesco Navarra, Dharm Veer
In this article, we study the primary decomposition of some binomial ideals. In particular, we introduce the concept of polyocollection, a combinatorial object that generalizes the…
The Charney-Davis conjecture for simple thin polyominoes
Manoj Kummini, Dharm Veer
Let be a simple thin polyomino and a field. Let be the toric -algebra associated to . Write the Hilbert series of as $h_{R}(t)/(1-…
The -polynomial and the rook polynomial of some polyominoes
Manoj Kummini, Dharm Veer
Let be a convex polyomino such that its vertex set is a sublattice of . Let be the toric ring (over a field ) associated to in the sense of…
On the linearity of the syzygies of Hibi rings
Dharm Veer
In this article, we prove necessary conditions for Hibi rings to satisfy Green-Lazarsfeld property for and . We also show that if a Hibi ring satisfies property $N_4…