Maximal elements in the Hurwitz graph
The Hurwitz graph has as its vertices the maximal chains in the lattice of non-crossing partitions, with an edge between two chains which differ at exactly one place. Adin and Roichman introduced an order on this graph by choosing a base element and showed that the maximal elements are counted by the Catalan numbers. W...
Philippe Biane
· Groups Geometry and Dynamics · 0 citations