Panayotopoulos, A.; Vlamos, P. Meandric polygons. (English) Zbl 1224.05026 Ars Comb. 87, 147-159 (2008). 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. Cited in 1 Document MSC: 05A15 Exact enumeration problems, generating functions 05A99 Enumerative combinatorics Keywords:meandric polygon; closed meander PDFBibTeX XMLCite \textit{A. Panayotopoulos} and \textit{P. Vlamos}, Ars Comb. 87, 147--159 (2008; Zbl 1224.05026) Online Encyclopedia of Integer Sequences: Number of elevated peakless Motzkin paths. Number of meanders of order 2n+1 (4*n+2 crossings of the infinite line) with only central 1-1 cut (no other 1-1 cuts). Number of meanders of order 2n+1 (4*n+2 crossings of the infinite line) with central 1-1 cut.