SOME RESULTS ON DISJOINT STEINER QUADRUPLE SYSTEMS

Authors

  • Chin-Mei Fu Department of Mathematices, Tamkang University, Tamsui, Taiwan, ROC.
  • Hung-Lin Fu Department of Applied Mathematices, National Chiao Tung University, Hsin-Chu, Taiwan, ROC.

DOI:

https://doi.org/10.5556/j.tkjm.21.1990.4681

Keywords:

Steiner quadruple systems

Abstract

SOME RESULTS ON DISJOINT STEINER QUADRUPLE SYSTEMS

References

H. L. Fu, "On the constructions and applications of two 1-factorizations with prescribed intersections", Tamkang J. of Math., Vol. 15, No. 1, 1984.

H. L. Fu, "Steiner quadruple systems of order 4v with prescribed intersections", Ars Combinatoria, 21 (1986), pp.89-103.

H. L. Fu, "A note on the block intersection problem of Stenier quadruple systems of order u ·v", Tamkang J. Math., Vol. 18, No. 2, 1987, pp. 59-63.

H. L. Fu, "Intersection problem of Steniner systems S(3,4,2v)", Discrete Math., 67 (1987) 241-247.

M. Gionfriddo and C. C. Lindner, "Construction of Steiner quadruple systems having a prescribed number of blocks in common", Discrete Math., 34 (1981), 34-42.

M. Gionfriddo, "On the set J(v) for Steniner quadruple systems of order v =2^n with n >= 4", Discrete Math., 44 (1983) 155-160.

M. Gionfriddo, "ON the block-intersection problem for SQS", Ars Combinatoria 15 (1983), 304-314.

M. Gionfriddo, "Intersections of Steiner systems S(3,4,v) with v =5 ·2^n", Journal of Geometry 24 (1985), 103-111.

M..Gionfriddo, M.C. Marino, "On Steniner systems S(3,4,20) and S(3,4,32)", Utilitas Mathemat- ices 25 (1984), 331-3.38.

Giovanni Lo Faro, "On the set J(v) for Steiner quadruple systems of order v =7 ·2^n with n >= 2", Ars Combinatoria, Vol. 17 (1984), pp. 39-47.

H. Hanani, "On quadruple systems", Canad. J. Math. 12 (1960), 145-157.

E. S. Kramer and D. M. Mesner, "Intersections among Steiner systems", J. Combinatorial Theory 16(A) (1974), 303-306.

J C. C. Lindner and A. Rosa, "Finite embedding theorems for partial Steiner quadruple systems", Bull. Soc. Math. Belg. 27 (1975) 315-323.

K. T. Phelps and A. Rosa, "2-chromatic Steiner quadruple systems", Europ. J. Combinatorics (1980) 1, 253-258.

D. Woolbright, "The rainbow theorem of 1-factorization", personal communication.

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Published

1990-12-01

How to Cite

Fu , C.-M., & Fu , H.-L. (1990). SOME RESULTS ON DISJOINT STEINER QUADRUPLE SYSTEMS. Tamkang Journal of Mathematics, 21(4), 345–349. https://doi.org/10.5556/j.tkjm.21.1990.4681

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Papers