Restricted Sarvate-Beam Triple Systems

R.G. Stanton1
1Department of Computer Science University of Manitoba Winnipeg, MB, Canada R3T 2N2

Abstract

We point out that restricted SB triple systems can only exist for \(v \leq 8\). The case \(v = 8\) is especially interesting since it is extremal in that the pair frequencies of the fifteen pairs not involving either \(1\) or \(2\) must be the frequencies \(2, 3, \dots, 16\), in some order.