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COMBINATORICS
1999
70views more  COMBINATORICS 1999»
14 years 3 days ago
Tilings of Diamonds and Hexagons with Defects
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...
Harald Helfgott, Ira M. Gessel
COMBINATORICS
2006
103views more  COMBINATORICS 2006»
14 years 15 days ago
A Note on Domino Shuffling
We present a variation of James Propp's generalized domino shuffling, which provides an efficient way to obtain perfect matchings of weighted Aztec diamonds. Our modification...
É. Janvresse, T. de la Rue, Y. Velenik