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math.CO2013★ 8 cited
Results and conjectures on simultaneous core partitions
Drew Armstrong, Christopher R. H. Hanusa, Brant C. Jones
An n-core partition is an integer partition whose Young diagram contains no hook lengths equal to n. We consider partitions that are simultaneously a-core and b-core for two relati…
math.CO2013
Rational associahedra and noncrossing partitions
Drew Armstrong, Brendon Rhoades, Nathan Williams
Each positive rational number x>0 can be written uniquely as x=a/(b-a) for coprime positive integers 0<a<b. We will identify x with the pair (a,b). In this paper we define for each…