The \(h\)-polynomial and the rook polynomial of some polyominoes

DOI10.37236/10902OpenAlexW3208557726MaRDI QIDQ2699655

Manoj Kummini, Dharm Veer

Publication date: 19 April 2023

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.14905

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Combinatorial aspects of commutative algebra (05E40) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Related Items (3)

Hilbert-Poincaré series and Gorenstein property for some non-simple polyominoes ⋮ Polyocollection ideals and primary decomposition of polyomino ideals ⋮ Shellable simplicial complex and switching rook polynomial of frame polyominoes

Uses Software

• Macaulay2
• SageMath

Cites Work

• Ideals generated by 2-minors, collections of cells and stack polyominoes
• Hilbert series of simple thin polyominoes
• Regularity and the Gorenstein property of \(L\)-convex polyominoes
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