Further results on \((v,\{5,w^*\},1)\)-PBDs

DOI10.1016/J.DISC.2008.05.008zbMath1187.05017OpenAlexW2027940141MaRDI QIDQ1025489

R. Julian R. Abel, Alan C. H. Ling, Malcolm Greig, Gennian Ge

Publication date: 19 June 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.05.008

zbMATH Keywords

PBDpairwise balanced designcovering design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (19)

Some more uniformly resolvable designs with block sizes 2 and 4 ⋮ Group divisible designs with block size four and group type \(g^{u} m^{1}\) for small \(g\) ⋮ Super‐simple resolvable balanced incomplete block designs with block size 4 and index 2 ⋮ On uniformly resolvable designs with block sizes 3 and 4 ⋮ Halving Steiner 2-designs ⋮ Pair covering designs with block size 5 ⋮ Uniformly resolvable designs with block sizes 3 and 4 ⋮ Corrigendum: Super‐simple resolvable balanced incomplete block designs with block size 4 and index 2 ⋮ Unnamed Item ⋮ Resolvable balanced incomplete block designs with subdesigns of block size 4 ⋮ Completely reducible super-simple designs with block size five and index two ⋮ Small Uniformly Resolvable Designs for Block Sizes 3 and 4 ⋮ On the existence of resolvable K₄ − e designs ⋮ Pair covering and other designs with block size 6 ⋮ New results on GDDs, covering, packing and directable designs with block size 5 ⋮ Some more 5-GDDs, 4-frames and 4-RGDDs ⋮ Unnamed Item ⋮ Maximum uniformly resolvable designs with block sizes 2 and 4 ⋮ Scheduling CCRR tournaments

Cites Work

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• Resolvable balanced incomplete block designs with subdesigns of block size 4
• Balanced incomplete block designs and related designs
• Existence of \((v,\{5,w^*\},1)\)-PBDs.
• A survey on resolvable group divisible designs with block size four.
• The existence of perfect Mendelsohn designs with block size 7
• Existence of resolvable group divisible designs with block size four. I
• On coverings
• On resolvable designs
• The existence of uniform 5-GDDs
• Some more 5-GDDs and optimal (v), 5, 1)-packings
• Group-divisible designs with block size k having k +1 groups, for k =4, 5
• Asymptotic results on the existence of 4‐RGDDs and uniform 5‐GDDs
• Perfect Mendelsohn designs with block size six
• Resolvable balanced incomplete block designs with block size 5
• Resolvable group-divisible designs with block size four

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