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Difference between revisions of "Balanced incomplete block design"

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(See block design for now)
 
(Start article: Balanced incomplete block design)
 
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See [[Block design]].
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{{MSC|05B05}}
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''BIBD''
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A [[block design]] on a set of points and blocks (sets of points) which is "balanced": each block is of the same size, each point appears in the same number of blocks and each pair of points occurs in the same number of blocks; and "incomplete", not in general the complete collection of sets of given size.  Equivalently, a $2$-design.
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See [[Block design]] for further details and references.
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{{TEX|done}}

Latest revision as of 18:06, 4 January 2016

2020 Mathematics Subject Classification: Primary: 05B05 [MSN][ZBL]

BIBD

A block design on a set of points and blocks (sets of points) which is "balanced": each block is of the same size, each point appears in the same number of blocks and each pair of points occurs in the same number of blocks; and "incomplete", not in general the complete collection of sets of given size. Equivalently, a $2$-design.

See Block design for further details and references.

How to Cite This Entry:
Balanced incomplete block design. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Balanced_incomplete_block_design&oldid=37361