Department
Mathematics
Document Type
Article
Publication Date
1-5-2011
Abstract
A closed knight's tour of a chessboard uses legal moves of the knight to visit every square exactly once and return to its starting position. In 1991 Schwenk completely classified the m x n rectangular chessboards that admit a closed knight's tour. In honor of the upcoming twentieth anniversary of the publication of Schwenk's paper, this article extends his result by classifying the i x j x k rectangular prisms that admit a closed knight's tour.
Journal Title
The Electronic Journal of Combinatorics
Journal ISSN
1077-8926
Volume
18