Minimal free resolutions of 2 × n domino tilings

DOI10.1142/S0219498819501184zbMath1420.05183arXiv1708.07054OpenAlexW3099390895MaRDI QIDQ5383899

Tricia Muldoon Brown, Rachelle R. Bouchat

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07054

zbMATH Keywords

domino tilingBetti numberssquarefree monomial ideals

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Combinatorial aspects of tessellation and tiling problems (05B45) Combinatorial aspects of commutative algebra (05E40)

Related Items

Multigraded Betti numbers of Möbius domino ideals ⋮ Unnamed Item

Cites Work

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• Path ideals of rooted trees and their graded Betti numbers
• Minimal resolutions of some monomial ideals
• \(M\)-sequences, graph ideals, and ladder ideals of linear type
• The facet ideal of a simplicial complex
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• The statistics of dimers on a lattice
• Splittings of monomial ideals
• On the Resolution of Path Ideals of Cycles
• Dimer problem in statistical mechanics-an exact result
• Dependence of Betti Numbers on Characteristic
• Tilings

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