On designs with minimal harmonious colourings
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 colou...
Saved in:
| Main Author: | |
|---|---|
| Format: | text |
| Language: | English |
| Published: |
Animo Repository
1994
|
| Subjects: | |
| 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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | De La Salle University |
| Language: | English |
| 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. |
|---|