A

David

Darling

Hamilton path

A Hamilton path, named after William Hamilton, is a path that traverses every vertex of a connected graph once and only once. The problem of the knight's tour is equivalent to finding a Hamilton path (or, in the case, of a reentrant tour, i.e. one that starts and ends on the same vertex, a Hamilton circuit) that corresponds to the legal moves of the knight. Compare with Euler path. See also traveling salesman problem.