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Bijections on two variations of noncrossing partitions
Authors:Jang Soo Kim
Institution:aSchool of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
Abstract:We find bijections on 2-distant noncrossing partitions, 12312-avoiding partitions, 3-Motzkin paths, UH-free Schröder paths and Schröder paths without peaks at even height. We also give a direct bijection between 2-distant noncrossing partitions and 12312-avoiding partitions.
Keywords:Noncrossing partition  Motzkin path  Schrö  der path
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