Abstract : A polynomial ideal encoding topplings in the abelian sandpile model on a graph is introduced. A Gröbner basis of this ideal is interpreted combinator- ially in terms of well-connected subgraphs. This gives rise to algorithms to determine the identity and the operation in the group of recurrent configurations.
https://hal.inria.fr/inria-00072704
Contributor : Rapport de Recherche Inria
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Submitted on : Wednesday, May 24, 2006 - 10:38:23 AM
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Robert Cori, Dominique Rossin, Bruno Salvy. Polynomial Ideals for Sandpiles and their Gröbner Bases. [Research Report] RR-3946, INRIA. 2000. ⟨inria-00072704⟩
