A CAT algorithm for the exhaustive generation of ice piles
Massazza, Paolo ; Radicioni, Roberto
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010), p. 525-543 / Harvested from Numdam
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We present a CAT (constant amortized time) algorithm for generating those partitions of n that are in the ice pile model IPM k (n), a generalization of the sand pile model SPM(n). More precisely, for any fixed integer k, we show that the negative lexicographic ordering naturally identifies a tree structure on the lattice IPM k (n): this lets us design an algorithm which generates all the ice piles of IPM k (n) in amortized time O(1) and in space O(n).

Publié le : 2010-01-01
DOI : https://doi.org/10.1051/ita/2011004
Classification:  05A17,  68R99 
@article{ITA_2010__44_4_525_0,
     author = {Massazza, Paolo and Radicioni, Roberto},
     title = {A CAT algorithm for the exhaustive generation of ice piles},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     volume = {44},
     year = {2010},
     pages = {525-543},
     doi = {10.1051/ita/2011004},
     mrnumber = {2775410},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ITA_2010__44_4_525_0}
}

Massazza, Paolo; Radicioni, Roberto. A CAT algorithm for the exhaustive generation of ice piles. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) pp. 525-543. doi : 10.1051/ita/2011004. http://gdmltest.u-ga.fr/item/ITA_2010__44_4_525_0/

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