Minimal free resolutions of 2 × n domino tilings

Rachelle R. Bouchat; Tricia Muldoon Brown

doi:10.1142/S0219498819501184

Minimal free resolutions of 2 × n domino tilings

Rachelle R. Bouchat, Tricia Muldoon Brown

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We introduce a squarefree monomial ideal associated to the set of domino tilings of a 2 × n rectangle and proceed to study the associated minimal free resolution. In this paper, we use results of Dalili and Kummini to show that the Betti numbers of the ideal are independent of the underlying characteristic of the field, and apply a natural splitting to explicitly determine the projective dimension and Castelnuovo-Mumford regularity of the ideal.

Original language	English
Article number	1950118
Journal	Journal of Algebra and its Applications
Volume	18
Issue number	6
DOIs	https://doi.org/10.1142/S0219498819501184
State	Published - Jun 1 2019

Scopus Subject Areas

Algebra and Number Theory
Applied Mathematics

Keywords

Betti numbers
domino tiling
squarefree monomial ideals

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10.1142/S0219498819501184

Cite this

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Minimal free resolutions of 2 × n domino tilings

Abstract

Scopus Subject Areas

Keywords

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