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On symmetric configurations in some problems on extremal decomposition

✍ Scribed by G. V. Kuz’mina

Publisher: Springer US
Year: 2008
Tongue: English
Weight: 194 KB
Volume: 150
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-008-0124-y

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Abslract. Denote by @)(n; k) an ~-graph of n vcrtieca and k r-tuples. Turin's classical problem states: Detomline the smailcst integer f(n;r, I) so that cvcry G%; f(n; r, I)) contains a K@)(I). Tur&n determined f (n; r, I) for r = 2, but nothing is known for r > ?. Put lim,,f(n; t, O/(y) = c,,~ The