Abstract | ||
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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. |
Year | DOI | Venue |
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2021 | 10.37236/9531 | ELECTRONIC JOURNAL OF COMBINATORICS |
DocType | Volume | Issue |
Journal | 28 | 1 |
ISSN | Citations | PageRank |
1077-8926 | 0 | 0.34 |
References | Authors | |
0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Viviana Ene | 1 | 1 | 2.24 |
Jürgen Herzog | 2 | 1 | 2.65 |
Ayesha Asloob Qureshi | 3 | 0 | 1.35 |
Romeo Francesco | 4 | 0 | 0.34 |