Uniformly resolvable designs with index one, block sizes three and five and up to five parallel classes with blocks of size five

DOI10.1016/J.DISC.2009.02.003zbMath1194.05011OpenAlexW2038190009MaRDI QIDQ1043971

Ernst Schuster

Publication date: 10 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2009.02.003

zbMATH Keywords

frameresolvable group divisible designuniformly resolvable designincomplete uniformly resolvable designlabeled uniformly resolvable design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (12)

Uniformly resolvable decompositions of \(K_v\) into \(K_2\) and \(K_{1, 3}\) graphs ⋮ On uniformly resolvable designs with block sizes 3 and 4 ⋮ On the existence of uniformly resolvable decompositions of \(K_v\) and \(K_v-I\) into paths and kites ⋮ Uniformly resolvable decompositions of \(K_v\) into \(P_3\) and \(K_3\) graphs ⋮ Unnamed Item ⋮ Resolvable 3-star designs ⋮ Small Uniformly Resolvable Designs for Block Sizes 3 and 4 ⋮ Group divisible designs with block size four and group type \(g^um^{1}\) where \(g\) is a multiple of 8 ⋮ The intersection problem for 2-\((v,5,1)\) directed block designs ⋮ Uniformly resolvable decompositions of \(K_v\) into paths on two, three and four vertices ⋮ Unnamed Item ⋮ Maximum uniformly resolvable decompositions of \(K_v\) and \(K_v - I\) into 3-stars and 3-cycles

Cites Work

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• On group-divisible designs with block size four and group-type \(g^u m^1\)
• Resolvable group divisible designs with block size four and index three
• On combinatorial designs with subdesigns
• Uniformly resolvable pairwise balanced designs with blocksizes two and three
• Existence of labeled resolvable block designs
• Existence of resolvable group divisible designs with block size four. I
• Frames with Block Size Four
• Group-divisible designs with block size k having k +1 groups, for k =4, 5
• Two new direct product‐type constructions for resolvable group‐divisible designs
• Resolvable balanced incomplete block designs with block size 5

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