Polyomino ideals from ladder, weakly closed path, simple thin, and certain thin polyominoes are Knutson (hence radical), with some classes shown to be prime and Gröbner bases computed.
Shellable flag simplicial complexes of non-simple polyominoes
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abstract
In this article we investigate the shellability of the flag simplicial complexes attached to non-simple and thin polyominoes. As a consequence, we obtain the Cohen-Macaulayness and a combinatorial interepetation of the $h$-polynomial of the related coordinate rings.
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math.AC 1years
2024 1verdicts
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Polyominoes and Knutson ideals
Polyomino ideals from ladder, weakly closed path, simple thin, and certain thin polyominoes are Knutson (hence radical), with some classes shown to be prime and Gröbner bases computed.