Enumerating (multiplex) juggling sequences
Auteurs : Butler, Steve (Auteur) ; Graham, Ron (Auteur)
Date de publication : 2010
Langue : Anglais
Description : Annals of Combinatorics vol. 13 n°4, p.413-424.
Notes : Bibliogr. : p. 423-424.
Sujets :
Jonglerie - Philosophie et théorie
Analyse mathématique
Notation en jonglerie
Jonglerie - Recherche
Résumé :
We consider the problem of enumerating periodic ?-juggling sequences of length n for multiplex juggling, where ? is the initial state (or {\em landing schedule}) of the balls. We first show that this problem is equivalent to choosing 1's in a specified matrix to guarantee certain column and row sums, and then using this matrix, derive a recursion. This work is a generalization of earlier work of Fan Chung and Ron Graham. [ediotr summary]
Localisation : Études, rapports et articles de périodiques
Cote : 793.870 15 B9851e 2010