On maximal chains in the non-crossing partition lattice

Details On maximal chains in the non-crossing partition lattice On maximal chains in the non-crossing partition lattice

2012-01-23

arxiv.org/abs/1201.4669v1

Mathematics

Combinatorics

19 pages, 2 figures

Scientific paper

A weak order on the set of maximal chains of the non-crossing partition
lattice is introduced and studied. Applications include bounds on the diameter
of the graph on these chains, where two chains are adjacent if they differ in
exactly one element.

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