Abstract
In this paper we study the enumeration of diagrams of n chords joining 2n points on a circle in disjoint pairs. We establish limit laws for the following three parameters: number of components, size of the largest component, and number of crossings. We also find exact formulas for the moments of the distribution of number of components and number of crossings.
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© 2000 Springer-Verlag Berlin Heidelberg
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Flajolet, P., Noy, M. (2000). Analytic Combinatorics of Chord Diagrams. In: Krob, D., Mikhalev, A.A., Mikhalev, A.V. (eds) Formal Power Series and Algebraic Combinatorics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04166-6_17
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DOI: https://doi.org/10.1007/978-3-662-04166-6_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08662-5
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