Pairwise Balanced Designs with Block Sizes Three and Four Journal Articles

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.

authors

• Colbourn, Charles J
• Rosa, Alexander
• Stinson, Douglas R

status

• published 

publication date

• August 1, 1991

has subject area

• 0101 Pure Mathematics (FoR)
• General Mathematics (Science Metrix)

published in

• Canadian Journal of Mathematics  Journal

keywords

• EXISTENCE
• GROUP-DIVISIBLE DESIGNS
• Mathematics
• NUMBER
• ORTHOGONAL LATIN SQUARES
• Physical Sciences
• Science & Technology
• TRIPLE-SYSTEMS

Digital Object Identifier (DOI)

• 10.4153/cjm-1991-039-9

start page

• 673

end page

• 704

volume

• 43

issue

• 4