Some Constructions of Combinatorial Designs

Liaw, Yn Sheng (1994) Some Constructions of Combinatorial Designs. PhD thesis, University of Glasgow.

Abstract

In this thesis, we are concerned with some combinatorial designs ---1- rotational (v, 4, 1) designs, referee squares, triple whist tournaments and Room squares. Many of our constructions are Z-cyclic. Chapter 2 is devoted to 1-rotational (v, 4, 1). In Chapter 3, a method of constructing Z-cyclic referee squares is given, and we list Z-cyclic referee squares of side 2n - 1 when n < 17 except 4 and 5. Chapter 4 is devoted to triple whist tournaments. Finally, we construct Z-cyclic Room squares in Chapter 5. (Abstract shortened by ProQuest.).

• Item Type: Thesis (PhD)
• Qualification Level: Doctoral
• Additional Information: Adviser: Ian Anderson
• Keywords: Mathematics
• Date of Award: 1994
• Depositing User: Enlighten Team
• Unique ID: glathesis:1994-76435
• Copyright: Copyright of this thesis is held by the author.
• Date Deposited: 19 Nov 2019 14:20
• Last Modified: 19 Nov 2019 14:20
• URI: https://theses.gla.ac.uk/id/eprint/76435