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<p>In this article, we explore the shellability of the flag simplicial complexes associated with non-simple and thin polyominoes. As a consequence, we establish the Cohen–Macaulayness and a combinatorial interpretation of the <i>h</i>-polynomial of the corresponding coordinate rings.</p>

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Shellable flag simplicial complexes of non-simple polyominoes

  • 期刊论文

  • 发表日期：

    2025年2月10日

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  • Francesco Navarra

摘要

In this article, we explore the shellability of the flag simplicial complexes associated with non-simple and thin polyominoes. As a consequence, we establish the Cohen–Macaulayness and a combinatorial interpretation of the h-polynomial of the corresponding coordinate rings.