Tours de Hanoï et automates
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1990)
- Volume: 24, Issue: 1, page 1-15
- ISSN: 0988-3754
Access Full Article
topHow to cite
topAllouche, J.-P., and Dress, F.. "Tours de Hanoï et automates." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 24.1 (1990): 1-15. <http://eudml.org/doc/92347>.
@article{Allouche1990,
author = {Allouche, J.-P., Dress, F.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {towers of Hanoï; finite automaton},
language = {fre},
number = {1},
pages = {1-15},
publisher = {EDP-Sciences},
title = {Tours de Hanoï et automates},
url = {http://eudml.org/doc/92347},
volume = {24},
year = {1990},
}
TY - JOUR
AU - Allouche, J.-P.
AU - Dress, F.
TI - Tours de Hanoï et automates
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1990
PB - EDP-Sciences
VL - 24
IS - 1
SP - 1
EP - 15
LA - fre
KW - towers of Hanoï; finite automaton
UR - http://eudml.org/doc/92347
ER -
References
top- 1. A. AHO, J. HOPCROFT et J. ULLMANN, The Design and Analysis of Computers Algorithms, Addison-Wesley, Reading, MA, 1974, Zbl0326.68005MR413592
- 2. J. ARSAC, Le construction de programmes structurés, Dunod, Paris, 1977. Zbl0451.68014
- 3. J. ARSAC, Les bases de la programmation, Dunod, Paris, 1983. Zbl0624.68004
- 4. J. ARSAC, Jeux et casse-tête à programmer, Dunod, Paris, 1985.
- 5. M. D. ATKINSON, The Cyclic Towers of Hanoï, Inform. Process. Lett., vol. 13, 1981, p. 118-119. Zbl0467.68083MR645457
- 6. W. R. BALL, Mathematical Recreations and Essays, McMillan, London, 1892. Voir aussi Zbl65.1075.02
- W. R. BALL et H. S. M. COXETER, Mathematical Recreations and Essays, University of Toronto Press, Toronto, 1974, p. 316-317. MR351741
- 7. D. T. BARNARD, The Towers of Hanoï : an Exercise in Non Recursive Algorithm Development, Technical Report 80-103, Dept. of Computing and Information Science, Queen's University, 1980.
- 8. Br. A. BROUSSEAU, Towers of Hanoï with More Pegs, J. Recreat. Math., vol. 8, (3), 1976, p. 165-176. Zbl0332.05003
- 9. P. BUNEMAN et L. LEVY, The Towers of Hanoï Problem, Inform. Process. Lett., vol. 10, 1980, p. 243-244. Zbl0439.05010MR585392
- 10. G. CHRISTOL, T. KAMAE, M. MENDÈS FRANCE et G. RAUZY, Suites algébriques, automates et substitutions, Bull. Soc. Math. France, vol. 108, 1980, p. 401-419. Zbl0472.10035MR614317
- 11. N. CLAUS (anagramme de Lucas), La tour de Hanoï, jeu de calcul, Revue Science et Nature, vol. 1, n° 8, 1884, p. 127-128.
- 12. A. COBHAM, Uniform Tag Sequences, Math. Syst. Theory, vol. 6, 1972, p. 164-192. Zbl0253.02029MR457011
- 13. P. CULL et E. ECKLUND, Towers of Hanoï and Analysis of Algorithms, Amer. Math. Monthly, vol. 92, (6), June/July 1985. Zbl0589.90086MR795250
- 14. H. E. DUDENEY, The Canterbury Puzzles, Thos. Nelson & Sons, 1919, réédition Dovers Publications Ltd, New York, 1958.
- 15. J. ENGELFRIET, The Trees of Hanoï, 1981, preprint.
- 16. M. C. ER, A Representation Approach to the Towers of Hanoï Problem, The Comput. J., 1982, p. 442-447. Zbl0493.90100
- 17. M. C. ER, An Iterative Solution to the Cyclic Towers of Hanoï Problem, Technical Report, Dept. of Computing Science, University of Wollogang, 1982.
- 18. M. C. ER, The Cyclic Towers of Hanoï : a Generalization, Technical Report, Dept. of Computing Science, University of Wollogang, 1982.
- 19. M. C. ER, A Generalization of the Cyclic Towers of Hanoï, Technical Report, Dept. of Computing Science, University of Wollogang, 1982.
- 20. M. C. ER, Towers of Hanoï with Black and White Discs, J. Inform. Optim. Sci., vol. 6, (1), 1985, p. 87-93. MR793864
- 21. M. C. ER, The Towers of Hanoï and Binary Numerals, J. Inform. Optim. Sci., vol. 6, (2), 1985, p. 147-152. Zbl0578.68054MR796981
- 22. M. C. ER, The Complexity of the Generalised Cyclic Towers of Hanoï, J. Algorithms, vol. 6, (3), 1985, p. 351-358. Zbl0576.68036MR800725
- 23. J.-C. FOURNIER, Pour en finir avec la dérécursivation du problème des tours de Hanoï, Actes Journée A.F.C.E.T. Combinatoire, Lyon-I, 1985. Zbl0701.68039
- 24. J. S. FRAME et B. M. STEWART, Solution of Problem n° 3918, Amer. Math. Monthly, vol. 48, 1941, p. 216-219. MR1525110
- 25. M. GARDNER, Mathemaiical Puzzles and Diversions, Simon & Schuster, New York, 1958, p. 55-62.
- 26. M. GARDNER, Mathematical Games : the CuriousPropertiesof the Gray Code and How it Can Be Used to Solve Puzzles, Sci. Amer., août 1972, p. 106-109.
- 27. C. GERETY et P. CULL, Time Complexity of the Towers of Hanoï Problem, SIGACT News, vol. 18, (1), 1986. Zbl0621.68029
- 28. J. HARDOUIN-DUPARC, Génération de mots par des piles d'automates, 1985, preprint.
- 29. P. J. HAYES, A Note on the Towers of Hanoï Problem, The Comput. J., 1977, p. 282-285. Zbl0362.68057
- 30. K. JACOBS et M. KEANE, On 0-1 Sequences of Toeplitz Type, Z. Warsch. Geb., vol. 13, 1969, p. 123-131. Zbl0195.52703MR255766
- 31. M. S. KRISHNAMOORTHY et S. BISWAS, The Generalized Towers of Hanoï (preprint), 1978.
- 32. I. LAVALLÉE, Note sur le problème des tours de Hanoï, Rev. Roumaine Math. pures et appl., vol. 30, 1985, p. 433-438. Zbl0577.05010MR802766
- 33. B. MEYER et C. BAUDOUIN, Méthodes de programmation, Eyrolles, Paris, 3e édition, 1984. Zbl0407.68002
- 34. S. MINKER, Three Variations on the Towers of Hanoï Problem, S. M. Thesis, University of Pennsylvania, 1983.
- 35. H. PARTSCH et P. PEPPER, A Family of Rules for Recursion Removal, 1986, preprint. Zbl0345.68011MR443407
- 36. G. RAUZY, Cours de D.E.A. (communication privée), 1986.
- 37. J. S. ROHL, Recursion via Pascal, Cambridge University Press, 1984. Zbl0547.68003
- 38. T. ROTH, The Tower of Brahma Revisited, J. Recreat. Math., vol. 7, n° 2, 1974, p. 116-119.
- 39. A. SAINTE-LAGUE, Avec des nombres et des lignes, Vuibert, Paris, 1942, p. 71-78.
- 40. F. SCHUH, The Master Book of Mathematical Recreations, Dover Publications, Inc., New York, 1968, p. 119-121. Zbl0191.27406
- 41. T. R. WALSH, The Towers of Hanoï Revisited: Moving the Rings by Counting the Moves, Inform. Process. Lett., vol. 15, 1982, p. 64-67. Zbl0487.90099MR675870
- 42. D. WOOD, The Towers of Brahma and Hanoï Revisited, J. Recreat. Math., vol. 14, n° 1, 1981, p. 17-24. Zbl0486.05014MR629340
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.