Some Pairwise Balanced Designs

A pairwise balanced design, B(K; v), is a block design on v points, with block sizes taken from K, and with every pair of points occurring in a unique block; for a fixed K, B(K) is the set of all v for which a B(K; v) exists. A set, S, is a PBD-basis for the set, T, if T = B(S). Let Na(m) = {n : n a mod m}, and Nm = {n : n m}; with Q the corresponding restriction of N to prime powers. This paper addresses the existence of three PBD-basis sets.

• Type: Journal
• Year: 2000
• Where: COMBINATORICS
• Authors: Malcolm Greig
• Keywords: Block Design, COMBINATORICS 2000, Design, Unique Block