Updated December 2012
These are links I have noted from time to time, but have examined thoroughly only in a few cases.
For the present they are listed somewhat haphazardly with limited classification.
A large number of links previously here disappeared into the ether, but I have located replacements for most of them.
It is unfortunate that websites often show no dates of publication or last revision.
Let me know of other links that you think should be included.
- Brendan McKay -
ANU Computer Science Technical Reports - count of 13,267,364,410,532 tours.
Knight's Tours of an 8x8 chessboard by Brendan McKay (PDF file)
Lobbing and Wegener 1996 article on enumeration of tours.
- Hector Cancela and Ernesto Mordecki
Counting Knight's Tours through the Randomized Warnsdorff Rule. Conjecture G = 1.22×(10^15).
A lost link [http://kolmogorov.cmat.edu.uy/~mordecki/articles/divisibility/] to an article by Mordecki
gave the figure 1.305×(10^35), perhaps earlier work.
- Knight's tour according to Wikipedia.
- G. Stertenbrink and J-C. Meyrignac - Magic Tour Search Page.
Includes link to Fei Lu downloadable knight tour program (someway down page) - this was in another link now lost.
- Non-Crossing Knight Tours by J-C. Meyrignac.
- Tim Roberts biographical.
- Mathworld, Magic Tour -
Mathworld, Knight Graph -
The Knight's Tour page on Mathworld now redirects to this Knight Graph page.
- Cadaeic - Mike Keith's website
Prime Tour - Figured tour with primes in line with a fixed square
- article by Mike Keith on Knight's Tour Letter Squares, available as PDF.
- Creative computing -
Donald P. Irwin article.
- behnel.de What the chess knight is doing, by Stefan Behnel
- Chessbase Columns -
Frederic Friedel - reproduces a lot from my site, with a link to my old freeuk site.
- Exeter Junior Chess Club -
knight's tour problem - but page doesn't seem to be fully working.
- Ed. Pegg - leaper tours page.
- Colin Rose - Theoretical Research Institute -
Dr Colin Rose, The Distribution of the Knight.
Number of paths 4×m (m = 3...9)
- Mario Velucchi -
page of links to other knight's tour websites.
- Magic Hypercubes Home Page
by Harvey D. Heinz.
Unusual Magic Cubes
includes 4^3 Czepa magic tour (1918), Dudeney 8^3 surface tour (1917), Stertenbrink 4^3 magic tour (2003).
Magic Cube Update-5
inclides: magic knight tours by A. Kumar of faces of 8^3 cube, and of the solid 8^3 cube, and mentions a 12^3 solution (2007).
- Chess and Checkers Puzzles
"after Martin Gardner". Includes two knight's tour puzzles. (a) Euler's tour on the 12-cell cross-shaped board.
(b) The Longest Non-Crossing Knight Path (17 moves) on a 6×6 board.
- Vaclav Kotesovec - Application of Graph Theory in Chess Problems
(Dual-free Leaper and Hopper Tours) - Text in Czech and English.
- Archimedes Lab
Knight's Tour Puzzles and Graphs
- Dharwadker -
Applications of Graph Theory, by Shariefuddin Pirzada and Ashay Dharwadker.
- Mark R. Keen - The Knight's Tour -
Large site on graph theory
- Edward G. Heflin Knights Tour Wiki
Finding knight's tours on an M×N chessboard with O(MN) Hysteresis McCulloch-Pitts neurons by Kuo-Chun Lee
and Yoshiyasu Takefuji
(IEEE Transactions on Systems, Man and Cybernetics 1994) -
- Java World -
Enchanted Mind -
these are realisations of the knight tour using java programming
- Programming Forums Discussion on knight's tour programs
- Milorad M. Rogic
- Journeys of a Solitary Knight - types of figured tour problems
- Quixote2013 Knight's Tour inspired art by Michael Creighton. [link added 17 May 2013]
Other possible links to check:
Anton Betten on Combinatorics - gives one example tour
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