23 citations · 126 across the 30 of their papers we have counts for
3 papers · 1 filter
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…
Perfect powers in Catalan and Narayana numbers
Sara Checcoli, Michele D'Adderio
When a Catalan number or a Narayana number is a (non-trivial) perfect power? For Catalan numbers, we show that the answer is "never". However, we prove that for every b, the Naraya…
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…