Annals of Combinatorics 2 (1998) 7-18

A Partial Order for the Set of Meanders

Reinhard O. W. Franz

Department of Mathematics, Brigham Young University, Provo, UT 84602, USA

Received November 18, 1997

AMS Subject Classification: 05A15, 05A18; 06A07, 06A08

Abstract. In this paper, we present a new approach for studying meanders in terms of non-crossing partitions. We show how this approach leads to a natural partial order on the set of meanders. In particular, meanders form a graded poset with regard to this partial order.

Keywords: meanders, noncrossing partitions, partitions


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