Polynomial Ideals for Sandpiles and their Gröbner Bases

Robert Cori Dominique Rossin Bruno Salvy 1
1 ALGO - Algorithms
Inria Paris-Rocquencourt
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.
Document type :
Reports
Complete list of metadatas

https://hal.inria.fr/inria-00072704
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 10:38:23 AM
Last modification on : Friday, May 25, 2018 - 12:02:02 PM
Long-term archiving on : Thursday, March 24, 2011 - 12:08:53 PM

Identifiers

  • HAL Id : inria-00072704, version 1

Collections

Citation

Robert Cori, Dominique Rossin, Bruno Salvy. Polynomial Ideals for Sandpiles and their Gröbner Bases. [Research Report] RR-3946, INRIA. 2000. ⟨inria-00072704⟩

Share

Metrics

Record views

188

Files downloads

228