English

The Complexity of Determining Existence a Hamiltonian Cycle is $O(n^3)$

Data Structures and Algorithms 2007-06-20 v1 Computational Complexity Discrete Mathematics

Abstract

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(n3)O(n^3).

Cite

@article{arxiv.0706.2725,
  title  = {The Complexity of Determining Existence a Hamiltonian Cycle is $O(n^3)$},
  author = {Guohun Zhu},
  journal= {arXiv preprint arXiv:0706.2725},
  year   = {2007}
}
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