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The inside outside intersection problem for hexagon triple systems

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Mathematica Slovaca

Abstract

We give a complete solution of the following two problems:

  1. (1)

    For which (n, x) does there exist a pair of hexagon triple systems of order n having x inside triples in common?

  2. (2)

    For which (n, x) does there exist a pair of hexagon triple systems having x outside triples in common?

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Authors and Affiliations

  1. Mathematics Department, Auburn University, Auburn, Alabama, 36849-5307, USA

    C. C. Lindner

  2. Faculty of Applied Mathematics, AGH University of Science and Technology, Kraków, Poland

    M. Meszka

  3. Department of Mathematics and Computer Science, Alabama State University, Montgomery, Alabama, 36101, USA

    C. S. Pettis

Authors
  1. C. C. Lindner
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  2. M. Meszka
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  3. C. S. Pettis
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Corresponding author

Correspondence to C. C. Lindner.

Additional information

(Communicated by Peter Horák)

Dedicated to Alex Rosa on the occasion of his 70th birthday

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Lindner, C.C., Meszka, M. & Pettis, C.S. The inside outside intersection problem for hexagon triple systems. Math. Slovaca 59, 137–154 (2009). https://doi.org/10.2478/s12175-009-0114-7

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  • DOI: https://doi.org/10.2478/s12175-009-0114-7

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