arXiv Analytics

Sign in

arXiv:1605.09169 [math.CO]AbstractReferencesReviewsResources

Enumeration of Domino Tilings of an Aztec Rectangle with boundary defects

Manjil P. Saikia

Published 2016-05-30Version 1

Helfgott and Gessel gave the number of domino tilings of an Aztec Rectangle with defects of size one on the boundary of one side. In this paper we extend this to the case of domino tilings of an Aztec Rectangle with defects on all boundary sides.

Comments: 20 pages, 20 figures
Categories: math.CO
Subjects: 05A15, 05C30, 05C70, 52C20
Related articles: Most relevant | Search more
arXiv:math/9804119 [math.CO] (Published 1998-04-24, updated 1999-01-28)
Enumeration of m-ary cacti
arXiv:math/9904150 [math.CO] (Published 1999-04-27, updated 1999-04-28)
Enumeration of Matchings: Problems and Progress
arXiv:1406.0100 [math.CO] (Published 2014-05-31)
Sandpiles and Dominos