On designs with minimal harmonious colourings

• Main Author: Burgos, Corinne Grace B.
• Format: text
• Language: English
• Published: Animo Repository 1994
• Subjects: Graph theory; Symmetric functions; Matrices; Mathematics > Formulae; Combinatorial designs and configurations; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/etd_masteral/1551; https://animorepository.dlsu.edu.ph/context/etd_masteral/article/8389/viewcontent/TG02238_F_Redacted.pdf
• Institution: De La Salle University

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.