Pairwise Balanced Designs with Block Sizes Three and Four Academic Article uri icon

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abstract

  • AbstractGiven integers ν, a and b, when does a pairwise balanced design on ν elements with a triples and b quadruples exist? Necessary conditions are developed, and shown to be sufficient for all v ≥ 96. An extensive set of constructions for pairwise balanced designs is used to obtain the result.

publication date

  • August 1, 1991