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    COMBINATORICS
    1999
    70views more  COMBINATORICS 1999»
    Tilings of Diamonds and Hexagons with Defects
    13 years 4 months ago
    Tilings of Diamonds and Hexagons with Defects
    Download  www.combinatorics.org
    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
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    COMBINATORICS
    2006
    103views more  COMBINATORICS 2006»
    A Note on Domino Shuffling
    13 years 5 months ago
    A Note on Domino Shuffling
    Download  www.unige.ch
    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
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