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Plane and projective meanders. (English) Zbl 0792.05005
The authors study the combinatorial properties of meanders which are non self-intersecting curves on the Euclidean and projective planes. Arithmetic and asymptotic properties of meandric numbers and various other theoretical and numerical results are presented. Connections with other domains of mathematics are discussed.
MSC:
05A16Asymptotic enumeration
05A15Exact enumeration problems, generating functions
51E15Affine and projective planes
05E20Group actions on designs, etc. (MSC2000)