Convex caterpillars are Schur-Positive

12 Jun 2020 Khachatryan-Raziel Yuval Hovannes

A remarkable result of Stanley shows that the set of maximal chains in the non-crossing partition lattice of type $A$ is Schur-positive, where descents are defined by a distinguished edge labeling. A bijection between these chains and labeled trees was presented by Goulden and Yong... (read more)

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