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On the number of steiner triple systems

โœ Scribed by V. E. Alekseev

Publisher
SP MAIK Nauka/Interperiodica
Year
1974
Tongue
English
Weight
225 KB
Volume
15
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES

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Geometric properties are used to determine the chromatic number of AG(4, 3) and to derive some important facts on the chromatic number of PG(n, 2). It is also shown that a 4-chromatic STS(v) exists for every admissible order v โ‰ฅ 21.

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Let D(u) be the maximum number of pairwk disjoint Steiner triple sysiems of order v. We prove that D(3v:r 2 2v + D(v) for every u = 1 oi 3 (mod 6), u 2 3. As a corollary, we have D(3n) -3n-2 for every n 2 1.