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单词 Steiner System
释义

Steiner System

A Steiner system is a set of points, and a collection of subsets of of size (called blocks), such that any points of are in exactly one of the blocks. The special case and corresponds to a so-calledSteiner Triple System. For a Projective Plane, , , , and the blocks are simply lines.

See also Steiner Quadruple System, Steiner Triple System.


References

Colbourn, C. J. and Dinitz, J. H. (Eds.) CRC Handbook of Combinatorial Designs. Boca Raton, FL: CRC Press, 1996.

Woolhouse, W. S. B. ``Prize Question 1733.'' Lady's and Gentleman's Diary. 1844.


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