Abstract: | We show that every 3‐connected claw‐free graph which contains no induced copy of P11 is hamiltonian. Since there exist non‐hamiltonian 3‐connected claw‐free graphs without induced copies of P12 this result is, in a way, best possible. © 2004 Wiley Periodicals, Inc. J Graph Theory 47: 111–121, 2004 |