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 InriaConnect in order to contact the contributor Submitted on : Wednesday, May 24, 2006 - 10:38:23 AM Last modification on : Friday, February 4, 2022 - 3:10:08 AM Long-term archiving on: : Thursday, March 24, 2011 - 12:08:53 PM
Robert Cori, Dominique Rossin, Bruno Salvy. Polynomial Ideals for Sandpiles and their Gröbner Bases. [Research Report] RR-3946, INRIA. 2000. ⟨inria-00072704⟩