A note on the structure of pairwise balanced designs

DOI10.1016/0097-3165(85)90103-7zbMath0575.05007OpenAlexW2021867964MaRDI QIDQ1063602

Lewis E. Varga

Publication date: 1985

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(85)90103-7

zbMATH Keywords

pairwise balanced designintersectionlargest blocks

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

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A sharpening of Fisher's inequality, Linear spaces in which every long line intersects \(v\) + 2 other lines

Cites Work

• Subsets of a finite set that intersect each other in at most one element
• An extension of a theorem of the Bruijn and Erdős on combinatorial designs
• An existence theory for pairwise balanced designs. II: Structure of PBD- closed sets and the existence conjectures