Peter J. Cameron
Parallelisms of Complete Designs
Paperback Engels 1976 9780521211604Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
These notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets. The background material to the theory of parallelisms is introduced and the author then describes the links this theory has with other topics from the whole range of combinatorial theory and permutation groups. These include network flows, perfect codes, Latin squares, block designs and multiply-transitive permutation groups, and long and detailed appendices are provided to serve as introductions to these various subjects. Many of the results are published for the first time.
Specificaties
ISBN13:9780521211604
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:152
Uitgever:Cambridge University Press
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Inhoudsopgave
Introduction; 1. The existence theorem; Appendix: the integrity theorem for network flows; 2. The parallelogram property; Appendix: the binary perfect code theorem; Appendix: association schemes and metrically regular graphs; 3. Steiner points and Veblen points; Appendix: Steiner systems; 4. Minimal edge-colourings of complete graphs; Appendix: latin squares, SDRs and permanents; 5. Biplanes and metric regularity; Appendix: symmetric designs; 6. Automorphism groups; Appendix: multiply transitive groups; 7. Resolutions and partition systems; Bibliography; Index.
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