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On the permutational power of token passing networks

Published online by Cambridge University Press:  05 October 2010

By
Michael Albert ,
Steve Linton  and
Nik Ruškuc
Edited by
Steve Linton ,
Nik Ruškuc  and
Vincent Vatter
Michael Albert
Affiliation:
Department of Computer Science University of Otago Dunedin New, Zealand
Steve Linton
Affiliation:
School of Computer Science University of St Andrews St Andrews, Fife, Scotland
Nik Ruškuc
Affiliation:
School of Mathematics and Statistics University of St Andrews St Andrews, Fife, Scotland
Steve Linton
Affiliation:
University of St Andrews, Scotland
Nik Ruškuc
Affiliation:
University of St Andrews, Scotland
Vincent Vatter
Affiliation:
Dartmouth College, New Hampshire
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Permutation Patterns , pp. 317 - 338
Publisher: Cambridge University Press
Print publication year: 2010

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References

[1] M. H., Albert, M. D., Atkinson, and N., Ruškuc. Regular closed sets of permutations. Theoret. Comput. Sci., 306(1-3):85–100, 2003.Google Scholar
[2] M. D., Atkinson, M. J., Livesey, and D., Tulley. Permutations generated by token passing in graphs. Theoret. Comput. Sci., 178(1-2):103–118, 1997.Google Scholar
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[5] D. E., Knuth. The art of computer programming. Vol. 1: Fundamental algorithms. Addison-Wesley Publishing Co., Reading, Mass., 1969.Google Scholar
[6] C. H., Papadimitriou, P., Raghavan, M., Sudan, and H., Tamaki. Motion planning on a graph (extended abstract). In S., Goldwasser, editor, 35th Annual Symposium on Foundations of Computer Science, pages 511–520. IEEE, 1994.Google Scholar
[7] V. R., Pratt. Computing permutations with double-ended queues, parallel stacks and parallel queues. In STOC '73: Proceedings of the fifth annual ACM symposium on Theory of computing, pages 268–277, New York, NY, USA, 1973. ACM Press.Google Scholar
[8] D., Ratner and M., Warmuth. The (n2 – 1)-puzzle and related relocation problems. J. Symbolic Comput., 10(2):111–137, 1990.Google Scholar
[9] R., Tarjan. Sorting using networks of queues and stacks. J. Assoc. Comput. Mach., 19:341–346, 1972.Google Scholar
[10] R. M., Wilson. Graph puzzles, homotopy, and the alternating group. J. Combinatorial Theory Ser. B, 16:86–96, 1974.Google Scholar

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