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Reports (Research Report) Year : 2000

Polynomial Ideals for Sandpiles and their Gröbner Bases

Robert Cori
  • Function : Author
Dominique Rossin
Bruno Salvy

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.

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Other [cs.OH]
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Dates and versions

inria-00072704 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00072704 , version 1

Cite

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