Domino tilings on orientable surfaces
type: Item
instance of: scholarly article
title: Domino tilings on orientable surfaces
zbMATH Open document ID: 0907.05017
author: Kenichi Ito
published in: Journal of Combinatorial Theory. Series A
publication date: 1999-02-11T00:00:00Z
review text: \textit{J. H. Conway} and \textit{J. C. Lagarias} [J. Comb. Theory, Ser. A 53, No. 8, 183-208 (1990; Zbl 0741.05019)] and \textit{W. P. Thurston} [Am. Math. Mon. 97, No. 8, 757-773 (1990; Zbl 0714.52007)], using combinatorial group theory, give necessary and sufficient conditions for a simply-connected region of a checkerboard to be tiled by dominoes. The paper under review considers domino tiling of checkerboard-like orientable surfaces (possibly with boundary). Ito gives necessary and sufficient conditions, in terms of certain admissible null-homologous closed edge paths, for such a surface to be tiled by dominoes.
reviewed by: Andrew Vince
Mathematics Subject Classification ID: 05B45
Mathematics Subject Classification ID: 52C20
zbMATH DE Number: 1216719
zbMATH Keywords: tiling
zbMATH Keywords: domino tiling
MaRDI profile type: Publication
full work available at URL: jcta.1998.2872
OpenAlex ID: W1991392655
cites work: Tiling with polyominoes and combinatorial group theory
cites work: Conway's Tiling Groups
cites work: Domino tilings on planar regions
cites work: Q5787302
DOI: 10.1006/JCTA.1998.2872
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description: scientific article; zbMATH DE number 1216719