×

Meandric polygons. (English) Zbl 1224.05026

Summary: The notion of meandric polygons is introduced in this paper. A bijection exists between the set of meandric polygons and that of closed meanders. We use these polygons to enumerate the set of meanders which have fixed number of arcs of the meandric curves lying above and below the horizontal line at a given point.

MSC:

05A15 Exact enumeration problems, generating functions
05A99 Enumerative combinatorics
PDFBibTeX XMLCite