Difference between revisions of "Balanced incomplete block design"
From Encyclopedia of Mathematics
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| − | See [[Block design]]. | + | {{MSC|05B05}} |
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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
Balanced incomplete block design. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Balanced_incomplete_block_design&oldid=37361