23 citations · 126 across the 30 of their papers we have counts for
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math.CO2013
Two operators on sandpile configurations, the sandpile model on the complete bipartite graph, and a Cyclic Lemma
Jean-Christophe Aval, Michele D'Adderio, Mark Dukes +1
We introduce two operators on stable configurations of the sandpile model that provide an algorithmic bijection between recurrent and parking configurations. This bijection preserv…
math.CO2013★ 9 cited
Statistics on parallelogram polyominoes and a q,t-analogue of the Narayana numbers
Jean-Christophe Aval, Michele D'Adderio, Mark Dukes +2
We study the statistics area, bounce and dinv on the set of parallelogram polyominoes having a rectangular m times n bounding box. We show that the bi-statistics (area, bounce) and…