By Joergen Ellegaard Andersen and others

A linear chord diagram canonically determines a fatgraph and hence has an associated genus *g*. We compute the natural generating function *{\bf C}_g(z)=\sum_{n\geq 0} {\bf c}_g(n)z^n* for the number *{\bf c}_g(n)* of linear chord diagrams of fixed genus *g\geq 1* with a given number *n\geq 0* of chords and find... Show more

October 27, 2010

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Enumeration of linear chord diagrams

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