Return to search

Self-Dual Graphs

The study of self-duality has attracted some attention over the past decade. A good deal of research in that time has been done on constructing and classifying all self-dual graphs and in particular polyhedra. We will give an overview of the recent research in the first two chapters. In the third chapter, we will show the necessary condition that a self-complementary self-dual graph have <i>n</i> &#8801; 0, 1 (mod 8) vertices and we will review White's infinite class (the Paley graphs, for which <i>n</i> &#8801; 1 (mod 8)). Finally, we will construct a new infinite class of self-complementary self-dual graphs for which <i>n</i> &#8801; 0 (mod 8).

Identiferoai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:OWTU.10012/1014
Date January 2002
CreatorsHill, Alan
PublisherUniversity of Waterloo
Source SetsLibrary and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
RightsCopyright: 2002, Hill, Alan. All rights reserved.

Page generated in 0.0016 seconds