The author surveys some of the classical results on Hamiltonian cycles in undirected graphs and pays particular attention to the development over the last decade. Among the subjects are: binding number, toughness, degree conditions, closure, regular graphs, and graphs on surfaces. This is intended as a supplement to the survey of \textit{R. J. Gould} [Updating the Hamiltonian problem---a survey, J. Graph Theory 15, No. 2, 121-157 (1991; Zbl 0746.05039)].