Golden Ratio Growth and Phase Transitions in Chromatic Counts of Circular Chord Graphs

Rogelio N. Lopez-Bonilla, Julian Allagan, Shawn M. Langley +1

We study generalized circular chord graphs ${\mathcal{C}}_n^{(k)}$, formed from a cycle $C_n$ by adding fixed-offset chords of length $k$ and, for even $n$, diameters. Using transfer…