A closed -knight’s tour on some cylinder chessboards
Sirirat Singhun, Parichat Ruengmanee, Adthasit Sinna
AKCE International Journal of Graphs and Combinatorics · 2020
doi:10.1016/j.akcej.2019.06.001 (opens in a new tab)
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Abstract
A -knight’s move on the cylinder chessboard is the move of the knight 2 squares vertically or 2 squares horizontally and then 3 squares perpendicular to it. In this paper, we show a closed -knight’s tour on the cylinder chessboard for all positive integers and, and a closed -knight’s tour on the cylinder chessboard for all positive integers and. Moreover, we show that there is no closed -knight’s tours on the cylinder chessboard where (i) and (ii) and.
Abstract licence: CC BY-NC
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