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Resolvable


A balanced incomplete block design (B,V) is called resolvable if there exists a partition R of its set of blocks B into parallel classes, each of which in turn partitions the set V. The partition R is called a resolution.


See also

Block Design, Parallel Class

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References

Abel, R. J. R. and Furino, S. C. "Resolvable and Near Resolvable Designs." §I.6 in The CRC Handbook of Combinatorial Designs (Ed. C. J. Colbourn and J. H. Dinitz). Boca Raton, FL: CRC Press, pp. 4 and 87-94, 1996.Furino, S.; Miao, Y.; and Yin, J. Frames and Resolvable Designs: Uses, Constructions, ad Existence. Boca Raton, FL: CRC Press, 1996.

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Resolvable

Cite this as:

Weisstein, Eric W. "Resolvable." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Resolvable.html

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