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Hamiltonian circuit

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Hi! I have a little presentation for an algorithm course to do and it's about "Hamiltonian Path" I'm trying to find information on algorithm about that subject. I know the classic algorithm running in O((n-1)!). But is there a better algorithm ?? And I'm not talking about randomized or heuristic algorithm. Only algorithm which can work on all kind of graph. thanx

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http://en.wikipedia.org/wiki/Travelling_Salesman_Problem

http://www.andrew.cmu.edu/user/neils/tsp/index.html

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