Geodesic
Enumeration of chord diagrams without loops and parallel chords
Evgeniy Krasko1 ; Alexander Omelchenko1
1St.Petersburg Academic University
The electronic journal of combinatorics, Tome 24 (2017) no. 3
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We enumerate chord diagrams without loops and without both loops and parallel chords. For labelled diagrams we obtain generating functions, for unlabelled ones we derive recurrence relations.
DOI : 10.37236/6037
Classification : 05C30, 05C15, 05C45, 05A15
Mots-clés : chord diagrams, Hamiltonian paths, \(n\)-dimensional octahedron, shapes, unlabelled enumeration, generating functions

Evgeniy Krasko  1   ; Alexander Omelchenko  1

1 St.Petersburg Academic University 
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     title = {Enumeration of chord diagrams without loops and parallel chords},
     journal = {The electronic journal of combinatorics},
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Evgeniy Krasko; Alexander Omelchenko. Enumeration of chord diagrams without loops and parallel chords. The electronic journal of combinatorics, Tome 24 (2017) no. 3. doi: 10.37236/6037

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