A Note on Self Complementary Brittle and Self Complementary Quasi Chordal Graphs

Characterisation of self-complementary chordal graphs

In this note we prove that a self-complementary graph with p vertices is chordal if and only if its clique number is integral part of (p + 1)/2. (~) 1998 Elsevier Science B.V. All rights reserved

On almost self-complementary graphs

A graph is called almost self-complementary if it is isomorphic to one of its almost complements Xc − I, where Xc denotes the complement of X and I a perfect matching (1-factor) in Xc. Almost self-complementary circulant graphs were first studied by Dobson and Šajna in 2004. In this paper we investigate some of the properties and constructions of general almost self-complementary graphs. In par...

On separable self-complementary graphs

In this paper, we describe the structure of separable self-complementary graphs. c © 2002 Elsevier Science B.V. All rights reserved.

Self-complementary circulant graphs

Self-Complementary Vertex-Transitive Graphs

A graph Γ is self-complementary if its complement is isomorphic to the graph itself. An isomorphism that maps Γ to its complement Γ is called a complementing isomorphism. The majority of this dissertation is intended to present my research results on the study of self-complementary vertex-transitive graphs. I will provide an introductory mini-course for the backgrounds, and then discuss four pr...