Hamiltonian paths and cycles | Graph algorithms | Mathematical problems | Mathematical chess problems

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 exactly 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 (or re-entrant); 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. Variations of the knight's tour problem involve chessboards of different sizes than the usual 8 × 8, as well as irregular (non-rectangular) boards. (Wikipedia).

Knight's tour
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Graph theory | Time complexity | Self-avoiding walk | Neural network | Mathematical chess problem | Rotation (mathematics) | Artificial neuron | Hamiltonian path problem | Longest uncrossed knight's path | Brute-force search | Degree (graph theory) | Glossary of graph theory | Leonhard Euler | Divide-and-conquer algorithm | Algorithm | NP-hardness | Reflection (mathematics) | Eight queens puzzle