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Some new results on the covering numbers N(t,k,v)

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Combinatorial Mathematics VII

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 829))

Abstract

We define the classical covering number N(t,k,v), and indicate what is currently known in this area. Then we provide a method which obtains some results on one of the difficult outstanding problems, namely, the value of N(3,4, 12a+7).

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References

  1. W.H. Mills, On the Covering of Triples by Quadruples, Proc. Fifth Southeastern Conference on Combinatorics, Graph Theory and Computing, (Utilitas, Winnipeg, 1975), 563–581.

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  2. W.H. Mills, Covering Designs I: Coverings by a Small Number of Subsets, Ars Combin. 8 (1979), 199–315.

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  3. R.G. Stanton, J.G. Kalbfleisch, R.C. Mullin, Covering and Packing Designs, Proc. 2nd Chapel Hill Conference on Combinatorial Mathematics and its Applications, (Univ. North Carolina, Chapel Hill, 1970), 428–450.

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  4. R.M. Wilson, Construction and Uses of Pairwise-balanced Designs, Proc. NATO Advanced Study Inst. on Combinatorics, Nijenrode Castle, Bruekelen, Netherlands (1974), 19–42.

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Manitoba, Winnipeg, Manitoba, Canada

    R. G. Stanton & R. C. Mullin

  2. Department of Combinatorics & Optimization, University of Waterloo, Waterloo, Ontario, Canada

    R. G. Stanton & R. C. Mullin

Authors
  1. R. G. Stanton
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  2. R. C. Mullin
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Editor information

Robert W. Robinson George W. Southern Walter D. Wallis

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© 1980 Springer-Verlag

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Stanton, R.G., Mullin, R.C. (1980). Some new results on the covering numbers N(t,k,v). In: Robinson, R.W., Southern, G.W., Wallis, W.D. (eds) Combinatorial Mathematics VII. Lecture Notes in Mathematics, vol 829. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088899

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  • DOI: https://doi.org/10.1007/BFb0088899

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10254-0

  • Online ISBN: 978-3-540-38376-5

  • eBook Packages: Springer Book Archive

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