Linear spaces with small generated subspaces

DOI10.1016/j.jcta.2008.06.010zbMath1193.05047OpenAlexW2016962604MaRDI QIDQ1003656

Alan C. H. Ling, Peter J. Dukes

Publication date: 4 March 2009

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.2008.06.010

zbMATH Keywords

dimensionlinear spacepairwise balanced designHäggkvist numberssubdesign

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items (3)

Pairwise balanced designs covered by bounded flats ⋮ Cycles of quadratic Latin squares and antiperfect 1‐factorisations ⋮ Pairwise balanced designs with prescribed minimum dimension

Cites Work

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• On a problem of R. Häggkvist concerning edge-colouring of bipartite graphs
• Minimal coverings of pairs by triples
• Edge-colourings of \(K_{n,n}\) with no long two-coloured cycles
• On Steiner spaces
• Uniform group divisible designs with block sizes three and \(n\)
• On the structure of uniform one-factorizations from starters in finite fields
• An existence theory for pairwise balanced designs. II: Structure of PBD- closed sets and the existence conjectures
• Upper bounds on the general covering numberC_λ(v,k,t,m)
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• On the Maximal Number of Pairwise Orthogonal Latin Squares of a Given Order
• Minimal Edge-Colourings of Complete Graphs

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