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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Zbl arXiv
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 
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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     author = {Evgeniy Krasko and Alexander Omelchenko},
     title = {Enumeration of chord diagrams without loops and parallel chords},
     journal = {The electronic journal of combinatorics},
     year = {2017},
     volume = {24},
     number = {3},
     doi = {10.37236/6037},
     zbl = {1369.05112},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/6037/}
}
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