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An upper bound for the cardinality of ans-distance subset in real euclidean space, II

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Abstract

It is shown that ifX is ans-distance subset inR d, then |X|≦( d+s s ).

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References

  1. E. Bannai andE. Bannai, An upper bound for the cardinality of ans-distance subset in real Euclidean space,Combinatorica 1 (1981), 99–102.

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  2. A. Blokhuis, A new upper bound for the cardinality of 2-distance sets in Euclidean space,Eindhoven Univ. of Technology, Memorandum 1981—04, Feb. 1981.

  3. A. Blokhuis, An upper bound for the cardinality ofs-distance sets inE d andH d,Eindhoven Univ. Techn. Memorandum 1982-68, May 1982. (This is also part of his Ph. D. Thesis entitled “Few distance sets”, 1983.)

  4. E. W. Hobson,The Theory of Spherical and Ellipsoidal Harmonics, Cambridge, 1931.

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Authors and Affiliations

  1. Department of Mathematics, The Ohio State University, 43210, Columbus, Ohio, U.S.A.

    Eiichi Bannai & Etsuko Bannai

  2. School of Mathematics, The University of Minnesota, 55455, Minneapolis, Minnesota, U.S.A.

    Dennis Stanton

Authors
  1. Eiichi Bannai
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  2. Etsuko Bannai
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  3. Dennis Stanton
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Additional information

Supported in part by NSF grant MCS7903128 A01.

Supported in part by NSF grant MCS.

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Bannai, E., Bannai, E. & Stanton, D. An upper bound for the cardinality of ans-distance subset in real euclidean space, II. Combinatorica 3, 147–152 (1983). https://doi.org/10.1007/BF02579288

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  • DOI: https://doi.org/10.1007/BF02579288

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