Enumeration of Chord Diagrams without Loops and Parallel Chords

  • Evgeniy Krasko
  • Alexander Omelchenko
DOI: https://doi.org/10.37236/6037
Keywords: Chord diagrams, Hamiltonian paths, $n$-Dimensional octahedron, Shapes, Unlabelled enumeration, Generating functions

Abstract

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.
Published
2017-09-08
Issue
Volume 24, Issue 3 (2017)
Article Number
P3.43