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Wilson, Richard M.

Nonisomorphic Steiner triple systems. (English) Zbl 0264.05009

Math. Z. 135, 303-313 (1974).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 3 Reviews
Cited in 39 Documents

MSC:

05B05 Combinatorial aspects of block designs
05A15 Exact enumeration problems, generating functions
05B30 Other designs, configurations
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Full Text: DOI EuDML

References:

[1] Bays, S.: Sur les systemes cycliques de triples de Steiner. Ann. sci. École norm. sup. III. Sér.40, 55-96 (1923) · JFM 49.0089.03
[2] Cole, F.N.: The triad systems of 13 letters. Trans. Amer. math. Soc.14, 1-5 (1913) · JFM 44.0263.02
[3] Cole, FN., Cummings, L.D., White, H.S.: The complete enumeration of triad systems in 15 elements. Proc. nat. Acad. Sci., USA3, 197-199 (1917) · doi:10.1073/pnas.3.3.197
[4] Doyen, J.: Sur la croissance du nombre de systèmes triples de Steiner non isomorphes. J. combinat. Theory8, 424-441 (1970) · Zbl 0192.33304 · doi:10.1016/S0021-9800(70)80035-7
[5] Doyen, J., Valette, G.: On the number of nonisomorphic Steiner triple systems. Math. Z.120, 178-192 (1971) · Zbl 0203.30803 · doi:10.1007/BF01110156
[6] Doyen, J., Wilson, R.M.: Embeddings of Steiner triple systems. Discrete Math.5, 229-239 (1973). · Zbl 0263.05017 · doi:10.1016/0012-365X(73)90139-8
[7] Fisher, R.A., Yates, F.: Statistical Tables for Biological, Agricultural, and Medical Research. New York: Hafner 1963 · Zbl 0028.41204
[8] Hall, M., Jr., Swift, J.D.: Determination of Steiner triple systems of order 15. Math. Tables Aids Comput.9, 146-152 (1955) · Zbl 0068.24902 · doi:10.2307/2002050
[9] Liu, C.L.: Introduction to Combinatorial Mathematics. New York: McGraw-Hill 1968 · Zbl 0188.03801
[10] Moore, E.H.: Concerning triple systems. Rend. Circ. mat. Palermo9, 86 (1895) · JFM 26.0181.05 · doi:10.1007/BF03012851
[11] Ryser, H.J.: Permanents and systems of distinct representatives. In: Combinatorial Mathematics and its Applications, pp. 55-68. Chapel Hill: Univ. of N. Carolina Press 1969 · Zbl 0214.26302
[12] Wells, M.B.: The number of Latin squares of order eight. J. combinat. Theory3, 98-99 (1967) · Zbl 0166.01001 · doi:10.1016/S0021-9800(67)80021-8
[13] Witt, E.: Über Steinersche Systeme. Abh. math. Sem. Hansischen Univ.12, 267-275 (1938) · JFM 64.0937.02
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