3 research outputs found
Signed Chip Firing Games and symmetric Sandpile Models on the cycles
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