The Topology of Knight's Tours on Surfaces

  • Kara Teehan Rutgers University

Abstract




We investigate the homotopy classes of closed knight’s tours on cylinders and tori. Specifically, we characterize the dimensions of cylindrical chessboards that admit closed knight’s tours realizing the identity of the fundamental group and those that admit closed tours realizing a generator of the fundamental group. We also produce analogous results for toroidal chessboards.




Published
2018-07-02
How to Cite
TEEHAN, Kara. The Topology of Knight's Tours on Surfaces. Minnesota Journal of Undergraduate Mathematics, [S.l.], v. 4, n. 1, july 2018. ISSN 2378-5810. Available at: <https://mjum.math.umn.edu/index.php/mjum/article/view/61>. Date accessed: 23 aug. 2019.
Section
Articles