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math.CO2010★ 6 cited
Linear chord diagrams on two intervals
Jørgen E. Andersen, Robert C. Penner, Christian M. Reidys +1
Consider all possible ways of attaching disjoint chords to two ordered and oriented disjoint intervals so as to produce a connected graph. Taking the intervals to lie in the real a…
math.CO2010★ 8 cited
Enumeration of linear chord diagrams
J. E. Andersen, R. C. Penner, C. M. Reidys +1
A linear chord diagram canonically determines a fatgraph and hence has an associated genus . We compute the natural generating function ${\bf C}_g(z)=\sum_{n\geq 0} {\bf c}_g(n)…