J. Bangjensen et al., A POLYNOMIAL ALGORITHM FOR THE HAMILTONIAN CYCLE PROBLEM IN SEMICOMPLETE MULTIPARTITE DIGRAPHS, Journal of graph theory, 29(2), 1998, pp. 111-132
We describe a polynomial algorithm for the Hamiltonian cycle problem f
or semicomplete multipartite digraphs. The existence of such an algori
thm was conjectured in G. Gutin, Paths and cycles in digraphs. Ph. D.
thesis, Tel Aviv Univ., 1993. (see also G. Gutin, J Graph Theory 19 (1
995) 481-505). (C) 1998 John Wiley & Sons, Inc. J Graph Theory 29: 111
-132, 1998.