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Primitive radon partitions for cyclic polytopes

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Abstract

It is proved that the setA∪B is a primitive Radon partition in the cyclic polytopeC(n,d) if and only if thed+2 points ofA andB alternate along the moment curve.

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References

  1. Marilyn Breen,Determining a polytope by Radon partitions, Pacific J. Math.,43 (1972), 27–37.

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  2. Branko Grünbaum,Xonvex Polytopes, New York, 1967.

  3. William R. Hare and John W. Kenelly,Characterizations of Radon partitions, Pacific J. Math.36 (1971), 159–164.

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Authors and Affiliations

  1. University of Oklahoma, 73609, Norman, Oklahoma, U. S. A.

    Marilyn Breen

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  1. Marilyn Breen
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Breen, M. Primitive radon partitions for cyclic polytopes. Israel J. Math. 15, 156–157 (1973). https://doi.org/10.1007/BF02764601

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  • DOI: https://doi.org/10.1007/BF02764601

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