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Bipackings of pairs into triples, and isomorphism classes of small bipackings

Part of: Designs and configurations

Published online by Cambridge University Press:  09 April 2009

R. G. Stanton ,
M. J. Rogers ,
R. F. Quinn  and
D. D. Cowan
R. G. Stanton
Affiliation:
Department of Computer Science University of Manitoba Winnipeg, CanadaR3T 2N2
M. J. Rogers
Affiliation:
Department of Computer Science University of Manitoba Winnipeg, CanadaR3T 2N2
R. F. Quinn
Affiliation:
Department of Computer Science University of Waterloo Waterloo, CanadaN2L 3G1
D. D. Cowan
Affiliation:
Department of Computer Science University of Waterloo Waterloo, CanadaN2L 3G1
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Abstract

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The (2, 3, ν) bipacking number is determined for all integers ν, and the number of non-isomorphic bipackings is found for small values of ν. The general solution for lambada packings of pairs into triples is deduced from the results for λ = 1 and λ = 2.

MSC classification

Secondary: 05B40: Packing and covering
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 2 , April 1983 , pp. 214 - 228
Copyright
Copyright © Australian Mathematical Society 1983

References

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