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In memoriam

Robert Cori — 1982

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Signed Chip Firing Games and symmetric Sandpile Models on the cycles

Robert CoriThi Ha Duong PhanThi Thu Huong Tran — 2013

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We investigate the Sandpile Model and Chip Firing Game and an extension of these models on cycle graphs. The extended model consists of allowing a negative number of chips at each vertex. We give the characterization of reachable configurations and of fixed points of each model. At the end, we give explicit formula for the number of their fixed points.

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