hamiltonian problem

Computing Dictionary

Hamiltonian problem definition

(Or "Hamilton's problem") A problem in graph theory posed by William Hamilton: given a graph, is there a path through the graph which visits each vertex precisely once (a "Hamiltonian path")? Is there a Hamiltonian path which ends up where it started (a "Hamiltonian cycle" or "Hamiltonian tour")?
Hamilton's problem is NP-complete. It has numerous applications, sometimes completely unexpected, in computing.
The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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