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arxiv: 1310.3332 · v4 · pith:4KDDRX6Pnew · submitted 2013-10-12 · 🧮 math.CO

Enumeration of Hybrid Domino-Lozenge Tilings II: Quasi-octagonal regions

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keywords tilingscalledcambridgecombinatoricscounterpartdomino-lozengeenumerationformula
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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.

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