Block Sizes in Pairwise Balanced Designs
1984 ◽
Vol 27
(3)
◽
pp. 375-380
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Keyword(s):
AbstractThe number of sets of integers which are realizable as block sizes of a pairwise balanced design of order n is between and ; in contrast, when the multiplicity of each block size is also specified, the number of multisets which can be realized is between and . Although this gives a reasonable bound on the number of multisets which can be realized, a good characterization is not likely to exist; deciding whether a multiset can be so realized is NP-complete.
1991 ◽
Vol 43
(4)
◽
pp. 673-704
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2009 ◽
Vol 01
(04)
◽
pp. 519-529
1997 ◽
Vol 77
(2)
◽
pp. 228-245
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2016 ◽
Vol 59
(2)
◽
pp. 287-302
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Keyword(s):