Cyclic Sieving and Rational Catalan Theory

[摘要] Let $a < b$ be coprime positive integers. Armstrong, Rhoades, and Williams (2013) defined a set NC(a,b) of `rational noncrossing partitions', which form a subset of the ordinary noncrossing partitions of $\{1, 2, \dots, b-1\}$.  Confirming a conjecture

[学科分类] 离散数学和组合数学

[关键词] Noncrossing partition;Cyclic sieving;Rational Catalan number