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Supersquares

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Part of the Lecture Notes in Mathematics book series (LNM,volume 403)

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References

  1. R.J. COLLENS and R.C. MULLIN, Some properties of Room squares — a computer search. In Proc. First Louisiana Conference on Combinatorics, Graph Theory and Computing (Louisiana State University, Baton Rouge, 1970), 87–111.

    MATH  Google Scholar 

  2. J.D. HORTON, R.C. MULLIN and R.G. STANTON, A recursive construction for Room designs. Aequationes Math. 6 (1971), 39–45.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. J.F. LAWLESS, Pairwise balanced designs and the construction of certain combinatorial systems. In Proc. Second Louisiana Conference on Combinatorics, Graph Theory and Computing (Louisiana State University, Baton Rouge, 1971), 353–366.

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  4. R.C. MULLIN and E. NEMETH, An existence theorem for Room squares. Canad. Math. Bull. 12 (1969), 493–497.

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  5. R.C. MULLIN and W.D. WALLIS, On the existence of Room squares of order 4n. Aequationes Math. 6 (1971), 306–309.

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  6. R.C. MULLIN and W.D. WALLIS, Recent advances on complementary and skew Room squares. In Proc. Fourth South-eastern Conference on Combinatorics, Graph Theory and Computing (Boca Raton, 1973).

    Google Scholar 

  7. R.G. STANTON and J.D. HORTON, A multiplication theorem for Room squares. J. Combinatorial Theory, Series A, 12 (1972), 322–325.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. W.D. WALLIS, Room squares with subsquares. J. Combinatorial Theory, Series A (to appear).

    Google Scholar 

  9. W.D. WALLIS, Construction of skew Room squares. Aequationes Math. (to appear).

    Google Scholar 

  10. W.D. WALLIS, A family of Room subsquares. Utilitas Math. (to appear).

    Google Scholar 

  11. W.D. WALLIS, Solution of the Room square existence problem. J. Combinatorial Theory, Series A (to appear).

    Google Scholar 

  12. W.D. WALLIS, Anne Penfold Street and Jennifer Seberry Wallis, Combinatorics: Room Squares, Sum-free Sets, Hadamard Matrices. (Springer-Verlag, 1972).

    Google Scholar 

  13. RICHARD M. WILSON, An existence theory for pairwise balanced designs, II: the structure of PBD-closed sets and the existence conjecture. J. Combinatorial Theory, Series A, 13 (1972), 246–273.

    CrossRef  MATH  Google Scholar 

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© 1974 Springer-Verlag

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Wallis, W.D. (1974). Supersquares. In: Holton, D.A. (eds) Combinatorial Mathematics. Lecture Notes in Mathematics, vol 403. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0057388

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  • DOI: https://doi.org/10.1007/BFb0057388

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06903-4

  • Online ISBN: 978-3-540-37837-2

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