Theory
The knight's tour problem is an instance of the more general Hamiltonian path problem in graph theory. The problem of finding a closed knight's tour is similarly an instance of the Hamiltonian cycle problem. Note, however, that unlike the general Hamiltonian path problem, the knight's tour problem can be solved in linear time.
Read more about this topic: Knight's Tour
Famous quotes containing the word theory:
“The theory seems to be that so long as a man is a failure he is one of Gods chillun, but that as soon as he has any luck he owes it to the Devil.”
—H.L. (Henry Lewis)
“A theory if you hold it hard enough
And long enough gets rated as a creed....”
—Robert Frost (18741963)
“Lucretius
Sings his great theory of natural origins and of wise conduct; Plato
smiling carves dreams, bright cells
Of incorruptible wax to hive the Greek honey.”
—Robinson Jeffers (18871962)