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Shellable flag simplicial complexes of non-simple polyominoes

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arxiv 2408.12367 v2 pith:5JAN7TV7 submitted 2024-08-22 math.AC

Francesco Navarra This is my paper · ORCID
classification math.AC
keywords complexesflagnon-simplepolyominoessimplicialarticleattachedcohen-macaulayness
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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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  1. Polyominoes and Knutson ideals

    math.AC 2024-11 conditional novelty 7.0 of 10

    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.

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