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Critical perfect systems of difference sets with the minimum start

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Combinatorial Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 969))

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References

  1. J. Abrham, "Bounds for the sizes of components in perfect systems of difference sets." Ann. Discrete Math. 12 (1982) (to appear).

    Google Scholar 

  2. J. Abrham and A. Kotzig, "Inequalities for perfect systems of difference sets." Working paper No. 81-030, November 1981, Department of Industrial Engineering, University of Toronto.

    Google Scholar 

  3. J.-C. Bermond, A.E. Brouver, and A. Germa, "Systèmes de triplets et différences associées." Proc. Colloque C.N.R.S. — Problèmes combinatoires et théorie des graphes, Orsay 1976, pp. 35–38 (1976).

    Google Scholar 

  4. J.-C. Bermond, A. Kotzig and J. Turgeon, "On a combinatorial problem of antennas in radio-astronomy." Proc. 13th Hungarian Combinatorial Colloquium, North-Holland 1976, 135–149 (1976).

    Google Scholar 

  5. F. Biraud, E.J. Blum, and J.C. Ribes, "Some new possibilities of optimum synthetic linear arrays for radio-astronomy." Astronomy and Astrophysics 41, 409–413 (1975).

    Google Scholar 

  6. A. Kotzig, "Modern applications of elementary mathematics." Invited address, Third Annual Altantic Math. Days, Halifax 1979.

    Google Scholar 

  7. A. Kotzig and J. Turgeon, "Regular perfect systems of difference sets." Discrete Math. 20, 249–254 (1977).

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  8. A. Kotzig and J. Turgeon, "Perfect systems of difference sets and additive sequences of permutations." Proc. 10th S.-E. Conf. Combinatorics, Graph Theory, and Computing, Boca Raton 1979, Vol. II, Congr. Numerantium 24, 629–636 (1979).

    Google Scholar 

  9. A. Kotzig and J. Turgeon, "Sur l'existence de petites composantes dans tout systeme parfait d'ensemble de differences." Ann. Discrete Math. 8, pp. 71–75 (1980).

    Article  MathSciNet  MATH  Google Scholar 

  10. A. Kotzig and J. Turgeon, "On a conjecture of Paul Erdös for perfect systems of difference sets." Publ. C.R.M.A., Université de Montréal, No. 897, September 1979.

    Google Scholar 

  11. P.J. Laufer, "Some new results on regular perfect systems." Abstracts of papers presented to the American Math. Society Vol. 1 (1980), No. 2, p. 214.

    Google Scholar 

  12. P.J. Laufer, "Regular perfect systems of different sets of size 4." Ann. Discrete Math. 12 (1982) (to appear).

    Google Scholar 

  13. D.G. Rogers, "Addition theorems for perfect systems of difference sets." J. London Math. Soc. (2), 23, 385–395 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  14. D.G. Rogers, "A multiplication theorem for perfect systems of difference sets." Discrete Math. (to appear).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Industrial Engineering, University of Toronto, Toronto, Ontario, Canada

    Jaromir Abrham

  2. C. R. M. A., Universite de Montreal, Montreal, Quebec, Canada

    Anton Kotzig

Authors
  1. Jaromir Abrham
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  2. Anton Kotzig
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Editor information

Dieter Jungnickel Klaus Vedder

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© 1982 Springer-Verlag

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Abrham, J., Kotzig, A. (1982). Critical perfect systems of difference sets with the minimum start. In: Jungnickel, D., Vedder, K. (eds) Combinatorial Theory. Lecture Notes in Mathematics, vol 969. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062983

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  • DOI: https://doi.org/10.1007/BFb0062983

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11971-5

  • Online ISBN: 978-3-540-39380-1

  • eBook Packages: Springer Book Archive

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