Upper estimates of complexity of algorithms for multi-peg Tower of Hanoi problem

Authors

  • Sergey Novikov Institute of Computer Science, University of Podlasie, Sienkiewicza 51, PL-08-110 Siedlce, Poland

Abstract

There are proved upper explicit estimates of complexity of algorithms: for multi-peg Tower of Hanoi problem with the limited number of disks, for Reve’s puzzle and for 5-peg Tower of Hanoi problem with the free number of disks.

References

N. Claus, La Tour d’Hanoi: jeu de calcul, Science et Nature 1 (1884), no. 8, 127-128.
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B. Houston, H. Masum, Explorations in 4-peg Tower of Hanoi, Carleton University Technical Report TR-04-10, November 2004.
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S. Klavžar, U. Milutinović, C. Petr, On the Frame–Stewart algorithm for the multi-peg Tower of Hanoi problem, Sixth Twente Workshop on Graphs and Combinatorial Optimization (Enschede, 1999), Discrete Appl. Math. 120 (2002), no. 1-3, 141-157.
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R.G. Rock, Reve’s Puzzle, http://www.rit.edu/ ̃rgr8261/Reves/RevesPuzzle.doc
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B.M. Stewart, J.S. Frame, Problems and Solutions: Advanced Problems: Solutions: 3918, Amer. Math. Monthly 48 (1941), no. 3, 216-219.
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P.K. Stockmeyer, The Tower of Hanoi: A Bibliography, September, 2005, http://www.cs.wm.edu/ ̃pkstoc/biblio2.pdf
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Game, http://www.mazeworks.com/hanoi/
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Formula, http://mathworld.wolfram.com/TowerofHanoi.html
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Published

2007-04-20

How to Cite

Novikov, S. (2007). Upper estimates of complexity of algorithms for multi-peg Tower of Hanoi problem. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 6, 57–66. Retrieved from https://studmath.uken.krakow.pl/article/view/13280