Domino Tilings with Barriers
نویسندگان
چکیده
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 simple combinatorial explanation of this fact; our proof uses the Jacobi Trudi identity. 1999 Academic Press
منابع مشابه
Domino tilings with barriers In memory of Gian-Carlo Rota
In this paper, we continue the study of domino-tilings of Aztec diamonds (introduced in [1] and [2]). 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 simple combinatorial explanation of this ...
متن کاملar X iv : m at h / 98 01 06 7 v 2 [ m at h . C O ] 6 J an 1 99 9 Domino tilings with barriers
In this paper, we continue the study of domino-tilings of Aztec diamonds (introduced in [1] and [2]). 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 simple combinatorial explanation of thi...
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 87 شماره
صفحات -
تاریخ انتشار 1999