Title
Regularity And The Gorenstein Property Of L-Convex Polyominoes
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.
Year
DOI
Venue
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 Ene112.24
Jürgen Herzog212.65
Ayesha Asloob Qureshi301.35
Romeo Francesco400.34