Vicious walkers and Young tableaux I: without walls

被引：65

作者：

Guttmann, AJ ^{[1
]}

Owczarek, AL

Viennot, XG

机构：

[1] Univ Melbourne, Dept Math & Stat, Parkville, Vic 3052, Australia

[2] Univ Bordeaux 1, LaBRI, F-33405 Talence, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 40期

关键词：

D O I：

10.1088/0305-4470/31/40/007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：8123 / 8135

页数：13

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