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Vicious walkers and Young tableaux I: without walls

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Published under licence by IOP Publishing Ltd
, , Citation Anthony J Guttmann et al 1998 J. Phys. A: Math. Gen. 31 8123 DOI 10.1088/0305-4470/31/40/007

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Author affiliations

1 Department of Mathematics and Statistics, The University of Melbourne, Parkville, Victoria 3052, Australia

2 LaBRI, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence Cedex, France

Dates

  1. Received 20 January 1998

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0305-4470/31/40/8123

Abstract

We rederive previously known results for the number of star and watermelon configurations by showing that these follow immediately from standard results in the theory of Young tableaux and integer partitions. In this way we provide a proof of a result, previously only conjectured, for the total number of stars.

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10.1088/0305-4470/31/40/007