Strong Np Hardness of Moving Many Discs

Cover Strong Np Hardness of Moving Many Discs
Strong Np Hardness of Moving Many Discs
Paul G Spirakis
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E. B' ^ B. But this holds each of the sets of three discs, so in fact B' = B. This concludes the proof.
-5 - References [GJ] M. Garey and D. Johnson, Computers and Intractibility. W. H. Freeman and Company (1979).
[HJWjJ. Hopcroft, D. Joseph and S. Whitesides, "On the Movement of Robot Arms in 2- Dimensional Bounded Regions", 23rd FOCS Proceedings (1982).
[HSSjJ. Hopcroft, M Sharir and J. Schwartz, manuscript.
[LIWjT. Lozano- Perez and M Wesley, "An algorithm for planning collision-free paths a
...mong polyhedral obstacles", C. ACM 22 (1979), 560-570.
[M] R P. Moravec, Robot Rover Visual Navigation, LMI Research Press (1981), and Stanford Ph. D Thesis.
[N] N. J. Nilson, "A mobile autoraiaton: An application of artificial intelligence techniques", Proceedings Int. Joint Conf. Artif. Intel. (1969), 509-520.
[OY] C. Odvinlaing and C. K. Yap, "The Voronoi diagram method for motion planning", Courant Institute Report 53, (1983).
[OSY]C. Odunlaing, M. Sharir and C. K. Yap, "Retraction: a new approach to motion planning", 15th STOC Proceedings, (1983), 207-220.


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