Avalanche Polynomials of some Families of Graphs
Résumé
We study the abelian sandpile model on different families of graphs. We introduced the avalanche polynomial which enumerates the size of the avalanches triggered by the addition of a particle on a recurrent configuration. This polynomial is calculated for several families of graphs. In the case of the complete graph, the result involves some known result on Parking functions
Domaines
Combinatoire [math.CO]
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