aequationes mathematicae

, Volume 16, Issue 3, pp 195–220 | Cite as

A survey of pseudo (v, k, λ)-designs

  • Osvaldo Marrero
Expository papers

Abstract

This work is an attempt to give a complete survey of all known results about “pseudo (v, k, λ)-designs.” In doing this, the author hopes to bring more attention to his conjecture given in Section 6; an affirmative answer to this conjecture would settle completely the existence and construction problem for a pseudo (v, k, λ)-design in terms of the existence of an appropriate (v′, k′, λ′)-design.

AMS (1970) subject classification

Primary 05B02, 05B30 Secondary 05B05, 62K10, 05B20 

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References

  1. [1]
    Bridges, W. G.,Near 1-designs. J. Combinatorial Theory Ser. A13 (1972), 116–126.Google Scholar
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    Hall, Jr., M.,Combinatorial Theory. Blaisdell, Waltham, Mass., 1967.Google Scholar
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    Marrero, O. andButson, A. T.,Modular Hadamard matrices and related designs. J. Combinatorial Theory Ser. A15 (1973), 257–269.Google Scholar
  4. [4]
    Marrero, O. andButson, A. T.,Modular Hadamard matrices and related designs, II. Canad. J. Math.24 (1972), 1100–1109.Google Scholar
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    Ryser, H. J.,Combinatorial Mathematics. Wiley, New York, N. Y., 1963.Google Scholar
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    Ryser, H. J.,An extension of a theorem of de Bruijn and Erdös on combinatorial designs. J. Algebra10 (1968), 246–261.Google Scholar
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    Woodall, D. R.,Square λ-linked designs. Proc. London Math. Soc. (3)20 (1970), 669–687.Google Scholar

Copyright information

© Birkhäuser Verlag 1977

Authors and Affiliations

  • Osvaldo Marrero
    • 1
  1. 1.Department of MathematicsFrancis Marion CollegeFlorenceUSA

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