Holey matrimony: marrying two approaches to a tiling problem

zbMath1388.52010MaRDI QIDQ1745118

Tomack Gilmore

Publication date: 20 April 2018

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2017/26%20Gilmore.html

zbMATH Keywords

electrostaticsrhombus tilingsKasteleyn matricesholey hexagons

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07)

Related Items (1)

An extension of the Lindström-Gessel-Viennot theorem

Cites Work

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• Signed lozenge tilings
• Lozenge tilings of hexagons with arbitrary dents
• Binomial determinants, paths, and hook length formulae
• Symmetries of plane partitions and the permanent-determinant method
• Interactions between interleaving holes in a sea of unit rhombi
• A \textit{Mathematica} version of Zeilberger's algorithm for proving binomial coefficient identities
• A generalization of Kuo condensation
• Plane partitions in the work of Richard Stanley and his school
• Dimer packings with gaps and electrostatics
• The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions
• A triangular gap of side 2 in a sea of dimers in a 60° angle
• On the Vector Representations of Induced Matroids

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