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knight's tour
A knight's tour is a sequence of moves of a knight on a chessboard such that the knight visits every square only once. If the knight ends on a square that is one knight's move from the beginning square (so that it could tour the board again immediately, following the same path), the tour is ''closed'', otherwise it is ''open''.
The knight's tour problem is the mathematical problem of finding a knight's tour. Creating a program to find a knight's tour is a common problem given to computer science students.〔H. M. Deitel, P. J. Deitel. "Java How To Program Fifth Edition." ''Prentice Hall'', Upper Saddle River, New Jersey, pp. 326–328. 2003.〕 Variations of the knight's tour problem involve chessboards of different sizes than the usual 8 × 8, as well as irregular (non-rectangular) boards.
== 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. Unlike the general Hamiltonian path problem, the knight's tour problem can be solved in linear time.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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