The closed knight tour problem in higher dimensions
arXiv:1202.5291
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. In this article, we give the solution for $n$-dimensional rectangular boards, for $n\geq 4$.
This is a merged version of the previous version and the approach of Erde arXiv:1202.5548