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Some thoughts oh the no-three-in-line problem

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Combinatorial Mathematics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 403))

Abstract

Given an n × n grid of n2 points we must select as many as possible so that no three are in a straight line. This paper reviews results concerning the problem and provides a few minor proofs, additions and generalisations.

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References

  1. Acland-Hood Bull. Malayan Math. Soc., 0 (1952-3), E11–12.

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  5. Richard K. Guy Bull. Malayan Math. Soc., 0 (1952–3), E22.

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  6. Richard K. Guy and Patrick A. Kelly The No-three-in-line Problem (Research Paper #33 Univ of Calgary Preprint 1968)

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  7. Richard K. Guy and Patrick A. Kelly The No-three-in-line Problem, Canad. Math. Bull. 11 527–531 1968

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  8. Richard K. Guy Unsolved Combinatorial Problems in ‘Combinatorial Mathematics and its Applications’ ed Welsh (Academic 1971 p124)

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  9. Patrick A. Kelly ‘The Use of the Computer in Game Theory’ (Master's Thesis, Univ. of Calgary 1967 pp44–55)

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  11. S.K. Stein ‘Mathematics — The Man-made Universe’ (Freeman 1969 p291)

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Author information

Authors and Affiliations

  1. University of Melbourne, Canada

    Michael A. Adena & Derek A. Holton

  2. Mount Royal College, Canada

    Patrick A. Kelly

Authors
  1. Michael A. Adena
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  2. Derek A. Holton
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  3. Patrick A. Kelly
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Editor information

Derek A. Holton

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© 1974 Springer-Verlag

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Adena, M.A., Holton, D.A., Kelly, P.A. (1974). Some thoughts oh the no-three-in-line problem. In: Holton, D.A. (eds) Combinatorial Mathematics. Lecture Notes in Mathematics, vol 403. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0057371

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  • DOI: https://doi.org/10.1007/BFb0057371

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06903-4

  • Online ISBN: 978-3-540-37837-2

  • eBook Packages: Springer Book Archive

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