Corpus ID: 119316441

# Inverting the Kasteleyn matrix for holey hexagons

@article{Gilmore2017InvertingTK,
title={Inverting the Kasteleyn matrix for holey hexagons},
author={Tomack Gilmore},
journal={arXiv: Combinatorics},
year={2017}
}
• Tomack Gilmore
• Published 24 January 2017
• Mathematics, Physics
• arXiv: Combinatorics
Consider a semi-regular hexagon on the triangular lattice (that is, the lattice consisting of unit equilateral triangles, drawn so that one family of lines is vertical). Rhombus (or lozenge) tilings of this region may be represented in at least two very different ways: as families of non-intersecting lattice paths; or alternatively as perfect matchings of a certain sub-graph of the hexagonal lattice. In this article we show how the lattice path representation of tilings may be utilised in order… Expand
1 Citations

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