The Complexity of Determining Existence a Hamiltonian Cycle is $O(n^3)$
Guohun Zhu·2007-06-19·via cs.DS updates on arXiv.org
The Hamiltonian cycle problem in digraph is mapped into a matching cover bipartite graph. Based on this mapping, it is proved that determining existence a Hamiltonian cycle in graph is $O(n^3)$.