On the maximum number of disjoint Steiner triple systems

✍ Scribed by Luc Teirlinck

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 184 KB
• Volume: 6
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(73)90101-5

✦ Synopsis

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.