Asymptotic existence theorems for frames and group divisible designs

DOI10.1016/J.JCTA.2006.06.006zbMath1115.05008OpenAlexW1985552693MaRDI QIDQ878009

Jiuqiang Liu

Publication date: 4 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2006.06.006

zbMATH Keywords

block designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (8)

Pairwise balanced designs covered by bounded flats ⋮ Asymptotic existence of frame-GBTDs ⋮ Pairwise balanced designs with prescribed minimum dimension ⋮ The Asymptotic Existence of Resolvable Group Divisible Designs ⋮ The asymptotic existence of group divisible designs of large order with index one ⋮ The asymptotic existence of frames with a pair of orthogonal frame resolutions ⋮ Constructions and uses of incomplete pairwise balanced designs ⋮ Mutually orthogonal Latin squares with large holes

Cites Work

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• Frames for Kirkman triple systems
• An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
• The existence theorem for group divisible designs of large order
• Decompositions of edge-colored complete graphs
• An existence theory for pairwise balanced designs. II: Structure of PBD- closed sets and the existence conjectures
• On the Maximal Number of Pairwise Orthogonal Latin Squares of a Given Order
• A. translation of J. X. Lu's “an existence theory for resolvable balanced incomplete block designs”

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