knight's tour

(classic problem)

Definition: A series of moves of a chess knight that visits all squares on the board exactly once.

See also Hamiltonian cycle.

Note: The associated problem is to find such a series of moves. The problem can be generalized to an n × m rectangular chess board. Solutions may be found using backtracking.

Author: PEB


Oleg Kiselyov's derivation (Prolog)
Go to the Dictionary of Algorithms and Data Structures home page.

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Entry modified 24 June 2019.
HTML page formatted Mon Jun 24 15:14:40 2019.

Cite this as:
Paul E. Black, "knight's tour", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 24 June 2019. (accessed TODAY) Available from: