Enumeration of tilings of diamonds and hexagons with defects

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We show how to count tilings of Aztec diamonds and hexagons with defects using determinants. In several cases these determinants can be evaluated in closed form. In particular, we obtain solutions to problems 1, 2, and 10 in James Propp's list of problems on enumeration of matchings.

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Combinatorics, 05A15

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http://salesiana.dossiersoluciones.com/handle/123456789/77603

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9810143
 http://arxiv.org/abs/math/9810143

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arXiv