D. Veer

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math.AC2023

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…

math.AC2023

Green-Lazarsfeld property $N_{p}$ for Segre product of Hibi rings

Dharm Veer

In this article, we prove that if a Hibi ring satisfies property $N_{2}$ , then its Segre product with a polynomial ring in finitely many variables also satisfies property $N_{2}$ . When…

math.AC2021

The $h$ -polynomial and the rook polynomial of some polyominoes

Manoj Kummini, Dharm Veer

Let $X$ be a convex polyomino such that its vertex set is a sublattice of $N^{2}$ . Let $k [X]$ be the toric ring (over a field $k$ ) associated to $X$ in the sense of…

Cohen-Macaulay permutation graphs

Green-Lazarsfeld property Np​ for Segre product of Hibi rings

The h-polynomial and the rook polynomial of some polyominoes

Green-Lazarsfeld property $N_{p}$ for Segre product of Hibi rings

The $h$ -polynomial and the rook polynomial of some polyominoes