Free On-line Dictionary of Computing

Hamilton's problem ⇝

Hamiltonian problem

<computability >

(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. http://ing.unlp.edu.ar/cetad/mos/Hamilton.html .

Last updated: 1997年07月18日

Nearby terms:

Hamiltonian pathHamiltonian problem Hamiltonian tourHamilton's problem

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