The Cycle Spectrum of Claw-free Hamiltonian Graphs

Jonas Eckert, Felix Joos, Dieter Rautenbach

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,\left\lceil\frac{3}{2}Δ\right\rceil\righ…