A Hamilton path, named after William Hamilton, 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.
Related category GRAPHS AND GRAPH THEORY
Home • About • Copyright © The Worlds of David Darling • Encyclopedia of Alternative Energy • Contact