Enumeration of tilings of diamonds and hexagons with defects

Details Enumeration of tilings of diamonds and hexagons with defects Enumeration of tilings of diamonds and hexagons with defects

1998-10-23

arxiv.org/abs/math/9810143v1

Mathematics

Combinatorics

Scientific paper

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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