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A Colored Version of Tverberg's Theorem

Author

Listed:
  • Imre Barany

    (Dept. of Operations Research & Yale University)

  • D.G. Larman

    (University College London)

Abstract

The main result of this paper is that given n red, n white, and n green points in the plane, it is possible to form n vertex-disjoint triangles Delta_{1},...,Delta_{n} in such a way that the Delta_{i} has one red, one white, and one green vertex for every i = 1,...,n and the intersection of these triangles is nonempty.

Suggested Citation

  • Imre Barany & D.G. Larman, 1990. "A Colored Version of Tverberg's Theorem," Cowles Foundation Discussion Papers 936, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:936
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d09/d0936.pdf
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    Keywords

    Geometry;

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