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Laboratoire d'Informatique Algorithmique, Fondements et Applications |  |
Conference papers
On the Toppling of a Sand Pile
Abstract : In this paper, we provide the first study of the sand pile model SPM(0) where we assume that all the grains are numbered with a distinct integer.We obtain a lower bound on the number of terminal sand piles by establishing a bijection between a subset of these sand piles and the set of shifted Young tableaux. We then prove that this number is at least factorial.
Keywords :
Sand Pile Model
Young Tableaux
Cited literature [6 references]
https://hal.inria.fr/hal-01182963
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Submitted on : Thursday, August 6, 2015 - 3:10:48 PM
Last modification on : Saturday, November 20, 2021 - 3:49:46 AM
Long-term archiving on: : Wednesday, April 26, 2017 - 9:58:26 AM
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Thursday, August 6, 2015 - 3:10:48 PM
Last modification on : Saturday, November 20, 2021 - 3:49:46 AM
Long-term archiving on: : Wednesday, April 26, 2017 - 9:58:26 AM
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