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Optimal algorithms for constructing knight's tours on arbitrary \(n\times m\) chessboards

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Publication:1763476
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DOI10.1016/j.dam.2004.11.002zbMath1085.68179OpenAlexW2058686974MaRDI QIDQ1763476

Chung-Liang Wei, Shun-Shii Lin

Publication date: 22 February 2005

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2004.11.002


zbMATH Keywords

Optimal algorithmDivide-and-conquer algorithmKnight's tour problem


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Nonnumerical algorithms (68W05)


Related Items (3)

Generalized knight's tour on 3D chessboards ⋮ The traveling salesman problem on grids with forbidden neighborhoods ⋮ Taming the knight's tour: minimizing turns and crossings



Cites Work

  • An efficient algorithm for the Knight's tour problem
  • Solution of the knight's Hamiltonian path problem on chessboards
  • Which Rectangular Chessboards Have a Knight's Tour?
  • The Knight's Tour on the 15-Puzzle
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