Nullhomotopic and generating knight's tours on non-orientable surfaces

DOI10.46787/PUMP.V7I0.4231MaRDI QIDQ6651112

Bradley Forrest, Zachary Lague

Publication date: 10 December 2024

Published in: PUMP Journal of Undergraduate Research (Search for Journal in Brave)

zbMATH Keywords

fundamental groupsnon-orientable surfacesknight's tour

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Relations of low-dimensional topology with graph theory (57M15) Fundamental group, presentations, free differential calculus (57M05) Eulerian and Hamiltonian graphs (05C45)

Cites Work

• Title not available (Why is that?)
• Generalized knight's tour on 3D chessboards
• Which chessboards have a closed knight's tour within the rectangular prism?
• The closed knight tour problem in higher dimensions
• Generalized knight's tours on rectangular chessboards
• Which Rectangular Chessboards Have a Knight's Tour?
• Knight's Tours on a Torus

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