@article{gurevich1987expected, author = {Gurevich, Yuri and Shelah, Saharon}, title = {Expected Computation Time for Hamiltonian Path Problem}, year = {1987}, month = {July}, abstract = {Let G(n,p) be a random graph with n vertices and the edge probability p. We give an algorithm for Hamiltonian Path Problem whose expected run-time on G(n,p) is cn/p + o(n) for any fixed p. This is the best possible result for the case of fixed p. The expected run-time of a slighty modified version of the algorithm remains polynomial if p = p(n) > n-c where c is positive and small. The paper is based on a 1984 technical report.}, url = {http://approjects.co.za/?big=en-us/research/publication/expected-computation-time-hamiltonian-path-problem/}, pages = {486-502}, journal = {Journal on Computing}, volume = {16}, number = {3}, }