Geodesic
Enumeration of hybrid domino-lozenge tilings. II: Quasi-octagonal regions
Tri Lai1
1Institute for Mathematics and its Applications, University of Minnesota
The electronic journal of combinatorics, Tome 23 (2016) no. 2
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We use the subgraph replacement method to prove a simple product formula for the tilings of an 8-vertex counterpart of Propp's quasi-hexagons (Problem 16 in New Perspectives in Geometric Combinatorics, Cambridge University Press, 1999), called quasi-octagon.
DOI : 10.37236/4669
Classification : 05B45, 05C70, 52C20, 05A15
Mots-clés : perfect matchings, tilings, dual graphs, Aztec diamonds, Aztec rectangles, urban renewal, quasi-hexagons, quasi-octagons

Tri Lai  1

1 Institute for Mathematics and its Applications, University of Minnesota 
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     title = {Enumeration of hybrid domino-lozenge tilings. {II:} {Quasi-octagonal} regions},
     journal = {The electronic journal of combinatorics},
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Tri Lai. Enumeration of hybrid domino-lozenge tilings. II: Quasi-octagonal regions. The electronic journal of combinatorics, Tome 23 (2016) no. 2. doi: 10.37236/4669

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