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A Hamiltonian graph (directed or undirected) is a graph that contains a Hamiltonian cycle, that is, a cycle that visits every vertex exactly once.

6 votes
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What is the complexity of finding a third Hamilton Cycle in cubic graph?

Thomason's algorithm surely is superpolynomial, and shows that the problem is in PPA. In [3] I described another algorithm, also exponential and shows PPA, which is just as simple and has the added fe …
Tommy R. Jensen's user avatar
2 votes

What was Smith's proof of Smith's theorem on Hamilton cycles in cubic graphs?

I am fairly sure that I once asked Adrian Bondy about it, who replied something along the lines of Bill Tutte having told him that the original proof by Smith was quite messy.
Tommy R. Jensen's user avatar