Shellable flag simplicial complexes of non-simple polyominoes

Navarra, Francesco (2025) Shellable flag simplicial complexes of non-simple polyominoes. Bollettino dell'Unione Matematica Italiana . ISSN 1972-6724 (Print) 2198-2759 (Online) Published Online First https://dx.doi.org/10.1007/s40574-025-00462-x

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Abstract

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.
Item Type: Article
Uncontrolled Keywords: Binomial ideals; Cohen–Macaulay; Flag simplicial complex; Polyominoes; Rook polynomial; Shellable
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Francesco Navarra
Date Deposited: 08 Jun 2025 12:51
Last Modified: 08 Jun 2025 12:51
URI: https://research.sabanciuniv.edu/id/eprint/51399

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