Article ID: | iaor19982929 |
Country: | United Kingdom |
Volume: | 34 |
Issue: | 11 |
Start Page Number: | 113 |
End Page Number: | 119 |
Publication Date: | Dec 1997 |
Journal: | Computers & Mathematics with Applications |
Authors: | Palmer E.M. |
Keywords: | probability |
In 1960, Ore found a simple sufficient condition for a graph to have a Hamiltonian cycle. We expose a heuristic algorithm, hidden in Ore's proof, which can be very effective in actually finding such a cycle. This algorithm is always reasonably efficient and suggests an easy proof that almost all graphs are Hamiltonian.