Skip to main content

Monotone edge sequences in line arrangements and applications

Extended abstract

  • Communications
  • Conference paper
  • First Online:
Mathematical Foundations of Computer Science 1984 (MFCS 1984)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 176))

  • 125 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chazelle,B., Guibas,L.J., and Lee,D.T. The Power of Geometric Duality. Proc. 24th Symp. Found. Comp. Sci. (1983), 217–225.

    Google Scholar 

  2. Erdös, P., Lovasz, L., Simmons, A., and Strauss, E.G. Dissection Graphs of Planar Point Sets. In: A Survey of Combinatorial Theory, J.N. Srivastava et. al. eds., North-Holland, Amsterdam, 1973.

    Google Scholar 

  3. Edelsbrunner,H., O'Rourke,J., and Seidel,R. Constructing Arrangements of Lines and Hyperplanes with Applications. Proc. 24th Symp. Found. Comp. Sci. (1983), 83–91.

    Google Scholar 

  4. Edelsbrunner,H. and Welzl,E. On the Number of Line-Separations of a Finite Set in the Plane. Report F97, IIG, TU Graz, Austria (1982).

    Google Scholar 

  5. Edelsbrunner,H. and Welzl,E. Halfplanar Range Search in Linear Space and 0(n0.695) Query Time. Report F111, IIG, TU Graz, Austria (1983).

    Google Scholar 

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

    Google Scholar 

  7. Overmars, M.H. and van Leeuwen, J. Maintenance of Configurations in the Plane. J. of Comp. and Sys. Sci. 23 (1981), 166–204.

    Google Scholar 

  8. Paterson,M., Pippenger,M., and Pippenger,N. Private Communication (1982).

    Google Scholar 

  9. Willard, D.E. Polygon Retrieval. SIAM J. on Comp. 11 (1982), 149–165.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

M. P. Chytil V. Koubek

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Edelsbrunner, H., Welzl, E. (1984). Monotone edge sequences in line arrangements and applications. In: Chytil, M.P., Koubek, V. (eds) Mathematical Foundations of Computer Science 1984. MFCS 1984. Lecture Notes in Computer Science, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030307

Download citation

  • DOI: https://doi.org/10.1007/BFb0030307

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13372-8

  • Online ISBN: 978-3-540-38929-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics