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Regularity and the Gorenstein property of L-convex polyominoes

Ene, Viviana and Herzog, Jürgen and Asloob Qureshi, Ayesha and Romeo, Francesco (2021) Regularity and the Gorenstein property of L-convex polyominoes. Electronic Journal of Combinatorics, 28 (1). ISSN 1077-8926

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Official URL: http://dx.doi.org/10.37236/9531

Abstract

We study the coordinate ring of an L-convex polyomino, determine its regularity in terms of the maximal number of rooks that can be placed in the polyomino. We also characterize the Gorenstein L-convex polyominoes and those which are Gorenstein on the punctured spectrum, and compute the Cohen-Macaulay type of any L-convex polyomino in terms of the maximal rectangles covering it. Though the main results are of algebraic nature, all proofs are combinatorial.

Item Type:Article
Subjects:Q Science > QA Mathematics > QA150-272.5 Algebra
Q Science > QA Mathematics
ID Code:41415
Deposited By:Ayesha Asloob Qureshi
Deposited On:20 Apr 2021 12:23
Last Modified:20 Apr 2021 12:23

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