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On the number of equal-sized semispaces of a set of points in the plane

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Part of the Lecture Notes in Computer Science book series (LNCS,volume 154)

Keywords

  • Voronoi Diagram
  • Asymptotic Bound
  • Straightforward Counting
  • Affine Trans
  • Neighbor Voronoi Diagram

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References

  1. Edelsbrunner,H. and Welzl,E. Halfplanar Range Estimation. F98, Inst. for Inf. Proc., Techn. Univ. of Graz, Austria (1982).

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  2. Goodman,J.E. and Pollack,R. On the Combinatorial Classification of Nondegenerate Configurations in the Plane. J. of Comb. Theory, Ser.A, 29 (1980), 220–235.

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  3. Lee,D.T. On k-Nearest Neighbor Voronoi Diagrams in the Plane. IEEE Tr. on Comp. C-31 (1982), 487–487.

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  4. Ottmann,Th. and Wood,D. Dynamical Sets of Points. Manuscript (1982).

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  5. Shamos,M. I. and Hoey,D. Closest-Point Problems. Proc. 16th Ann. IEEE Symp. on Found. of Comp. Sci. (1975). 151–162.

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© 1983 Springer-Verlag Berlin Heidelberg

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Edelsbrunner, H., Welzl, E. (1983). On the number of equal-sized semispaces of a set of points in the plane. In: Diaz, J. (eds) Automata, Languages and Programming. ICALP 1983. Lecture Notes in Computer Science, vol 154. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036908

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  • DOI: https://doi.org/10.1007/BFb0036908

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12317-0

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