Date of Publication

4-1994

Document Type

Master's Thesis

Degree Name

Master of Science in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Blessilda P. Raposa

Defense Panel Chair

Arlene Pascasio

Defense Panel Member

Severino Diesto
Severino Gervacio

Abstract/Summary

This thesis is an exposition of the research paper entitled Minimal harmonious colourable designs by L.R.A. Casse, Christine M. O'Keefe and B.J. Wilson. A minimal harmoniously colourable design or an MH-colourable design is one whose incidence graph has exactly one edge whose vertices are coloured ci, ci for every pair of colours ci, ci used. In the case of symmetric designs, a certain type of Hadamard designs were shown to be MH-colourable. Also, some families of non-symmetric MH-colourable design were constructed.This thesis is an exposition of the research paper entitled Minimal harmonious colourable designs by L.R. A. Casse, Christine M. O'Keefe and B. J. Wilson. A minimal harmoniously colourable design or an MH-colourable design is one whose incidence graph has exactly one edge whose vertices are coloured ci, cj for every pair of colours ci, cj used. In the case of symmetric designs, a certain type of Hadamard designs is shown to be MH-colourable. Also, some families of non-symmetric MH-colourable design are constructed.

Abstract Format

html

Language

English

Format

Print

Accession Number

TG02238

Shelf Location

Archives, The Learning Commons, 12F Henry Sy Sr. Hall

Physical Description

[101] leaves

Keywords

Graph theory; Symmetric functions; Matrices; Mathematics--Formulae; Combinatorial designs and configurations

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