Enumeration of hybrid domino-lozenge tilings II: Quasi-octagonal regions

Tri Lai

doi:10.37236/4669

Enumeration of hybrid domino-lozenge tilings II: Quasi-octagonal regions

Tri Lai

Institute for Mathematics and its Applications

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

1 Scopus citations

Abstract

We use the subgraph replacement method to prove a simple product formula for the tilings of an octagonal counterpart of Propp’s quasi-hexagons (Problem 16 in New Perspectives in Geometric Combinatorics, Cambridge University Press, 1999), called quasi-octagon.

Original language	English (US)
Article number	P2.2
Journal	Electronic Journal of Combinatorics
Volume	23
Issue number	2
DOIs	https://doi.org/10.37236/4669
State	Published - Apr 1 2016

Bibliographical note

Funding Information:
The author would like to thank the anonymous referee for his careful reading and helpful suggestions. This research was supported in part by the Institute for Mathematics and its Applications with funds provided by the National Science Foundation (grant no. DMS-0931945).

Publisher Copyright:
© 2016, Australian National University. All Rights Reserved.

Keywords

Aztec diamonds
Aztec rectangles
Dual graphs
Perfect matchings
Quasi-hexagons
Quasi-octagons
Tilings
Urban renewal

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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Enumeration of hybrid domino-lozenge tilings II: Quasi-octagonal regions

Abstract

Bibliographical note

Keywords

UN SDGs

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