The closed knight tour problem in higher dimensions
Language
en
Article de revue
This item was published in
The Electronic Journal of Combinatorics. 2012p. Volume 19, Issue 4
Open Journal Systems
English Abstract
The problem of existence of closed knight tours for rectangular chessboards was solved by Schwenk in 1991. Last year, in 2011, DeMaio and Mathew provide an extension of this result for $3$-dimensional rectangular boards. ...Read more >
The problem of existence of closed knight tours for rectangular chessboards was solved by Schwenk in 1991. Last year, in 2011, DeMaio and Mathew provide an extension of this result for $3$-dimensional rectangular boards. In this article, we give the solution for $n$-dimensional rectangular boards, for $n\geq 4$.Read less <
English Keywords
Chessboard
Hamiltonian cycle
Origin
Hal imported