The Cycle Spectrum of Claw-free Hamiltonian Graphs

Abstract

If $G$ is a claw-free hamiltonian graph of order $n$ and maximum degree $\Delta$ with $\Delta \ge 24$, then $G$ has cycles of at least $\min \left\{n,\lceil \frac{3}{2}\Delta \rceil \right\}-2$ many different lengths.

arXiv comment9 pages