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Construction of some irreducible designs

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Combinatorial Mathematics IX

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 952))

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References

  1. D.R. Breach, The 2-(9,4,3) and 3-(10,5,3) designs, J. Combin. Theory A 27 (1979), 50–63.

    Article  MathSciNet  MATH  Google Scholar 

  2. F.N. Cole, A.S. White and L.D. Cummings, Jr., Complete classification of triad systems on fifteen elements, Mem. Nat. Acad. Sci. 14 (1925), second memoir.

    Google Scholar 

  3. Jane W. Di Paola, Jennifer Seberry Wallis and W.D. Wallis, A list of (v,b,r,k,λ) designs for r ≤ 30, Proc. 4th S-E Conf. Combinatorics, Graph Theory and Computing, Congressus Numerantium VIII, 249–258.

    Google Scholar 

  4. Marshall Hall Jr., Combinatorial Theory, Blaisdell, Waltham, Mass., 1967.

    MATH  Google Scholar 

  5. Q.M. Husain, On the totality of the solutions for the symmetrical incomplete block designs: λ = 2, k = 5 or 6, Sankhya 7 (1945–46), 204–208.

    MathSciNet  MATH  Google Scholar 

  6. J.H. van Lint, H.C.A. van Tilborg, and J.R. Wiekema, Block designs with v = 10, k = 5, λ = 4, J. Combin. Theory A 23 (1977), 105–115.

    Article  MATH  Google Scholar 

  7. Rudolf Mathon and Alexander Rosa, A census of Mendelsohn triple systems of order nine, Ars Combinatoria 4 (1977), 309–315.

    MathSciNet  MATH  Google Scholar 

  8. Elizabeth J. Morgan, Some small quasi-multiple designs, Ars Combinatoria 3 (1977), 233–250.

    MathSciNet  MATH  Google Scholar 

  9. Harikinkar Nandi, A further note on non-isomorphic solutions of incomplete block designs, Sankhya 7 (1945–46), 313–316.

    MathSciNet  MATH  Google Scholar 

  10. R.G. Stanton and R.J. Collens, A computer system for research on the family classification of BIBDs, Proc. Internat. Cong. on Combin. Theory. (Acad. del Lincei, Rome, 1973; vol.1, 1976), 133–169.

    Google Scholar 

  11. R.G. Stanton, R.C. Mullin and J.A. Bate, Isomorphism classes of a set of prime BIBD parameters, Ars Combinatoria 2 (1976), 251–264.

    MathSciNet  MATH  Google Scholar 

  12. Anne Penfold Street, On quasi-multiple designs, Combinatorial Mathematics V, Lecture Notes in Mathematics, Vol. 662 (Springer-Verlag, Berlin, 1977), 206–208.

    Google Scholar 

  13. Anne Penfold Street, Some designs with block size three, Combinatorial Mathematics VII, Lecture Notes in Mathematics, Vol. 829 (Springer-Verlag, Berlin, 1980, 224–237.

    Google Scholar 

  14. W.D. Wallis, unpublished communication (1973).

    Google Scholar 

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Elizabeth J. Billington Sheila Oates-Williams Anne Penfold Street

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© 1982 Springer-Verlag

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Billington, E.J. (1982). Construction of some irreducible designs. In: Billington, E.J., Oates-Williams, S., Street, A.P. (eds) Combinatorial Mathematics IX. Lecture Notes in Mathematics, vol 952. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061979

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  • DOI: https://doi.org/10.1007/BFb0061979

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11601-1

  • Online ISBN: 978-3-540-39375-7

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