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20212026
most citedPolyocollection ideals and primary decomposition of polyomino ideals

5 citations · 6 across the 8 of their papers we have counts for

collaborators

8 papers

math.CO2026

Pairs of lattice complements with complementary homology

Sara Faridi, Dharm Veer, Volkmar Welker

In this paper we study whether there is a global to local principle for the homology of order complexes of finite lattices. We explore whether the non-vanishing of the homology of…

math.AC2023★ 1 cited

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.CO2023

On Cohen-Macaulay posets of dimension two and permutation graphs

Rizwan Jahangir, Dharm Veer

We characterize Cohen-Macaulay posets of dimension two; they are precisely the shellable and strongly connected posets of dimension two. We also give a combinatorial description of…

math.AC2023

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…

math.AC2023★ 5 cited

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…

math.AC2022

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-…

math.AC2021

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…

math.AC2021

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…