Shellable flag simplicial complexes of non-simple polyominoes
arXiv:2408.12367 · doi:10.1007/s40574-025-00462-x
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 -polynomial of the related coordinate rings.
27 pages, 13 figures. Forthcoming in the Bollettino dell'Unione Matematica Italiana - Special Collection: Second UMI Meeting of PhD Students, Selected Contributions. This article is devoted to celebrating the Second UMI Meeting of Doctoral Students, held in Naples on June 13-14, 2024 (https://umi.dm.unibo.it/secondo-dottorandi/)