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arXiv:1310.1156 [math.CO]AbstractReferencesReviewsResources

A generalization of Aztec diamond theorem, part II

Tri Lai

Published 2013-10-04, updated 2014-09-02Version 3

The author presented two different proofs for a generalization of the Aztec diamond theorem using a bijection between tilings and non-intersecting paths (\textit{A generalization of Aztec diamond theorem, part I}, Electronic Journal of Combinatorics) and subgraph replacement rules (\textit{Enumeration of hybrid domino-lozenge tilings}, Journal of Combinatorial Theory, Series A). In this paper we use Kuo's graphical condensation and a certain reduction theorem to give two new proofs for the generalization.

Comments: 21 pages; rewrite the introduction, shorten some proofs, and fix typos/mistakes
Categories: math.CO
Subjects: 05A15, 05E99, 05B45, 05C30
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