The hidden algorithm of Ore's theorem on Hamiltonian cycles

The hidden algorithm of Ore's theorem on Hamiltonian cycles

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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:
Keywords: probability
Abstract:

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.

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