Domino tilings with barriers

Details Domino tilings with barriers Domino tilings with barriers

1998-01-13

arxiv.org/abs/math/9801067v3

J. Combin. Theory Ser. A 87 no.2 347--356 (1999)

Mathematics

Combinatorics

5 pages (two-column format), 1 figure

Scientific paper

In this paper, we continue the study of domino-tilings of Aztec diamonds. In particular, we look at certain ways of placing ``barriers'' in the Aztec diamond, with the constraint that no domino may cross a barrier. Remarkably, the number of constrained tilings is independent of the placement of the barriers. We do not know of a combinatorial explanation of this fact; our proof uses the Jacobi-Trudi identity.

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