Combinatorics and Graph Theory

Chord Diagrams with Directed Chords

Authors: Richard J. Mathar
Comments: 11 Pages.

Chord diagrams are cubic graphs with two types of edges: the first set of edges comprise a subgraph which is a simple cycle (the frame); the second type of edges (the chords) comprise disconnected 2-vertex subgraphs incident to distinct vertices of the frame. We define associated cubic graphs with directed chords (arcs) while keeping the edges of the frame undirected, and plot all 1, 3, 13, and 121 of them for 2, 4, 6, and 8 vertices.
Category: Combinatorics and Graph Theory