Self-complementary graphs
β Scribed by D. A. Suprunenko
- Publisher
- Springer US
- Year
- 1986
- Tongue
- English
- Weight
- 728 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1573-8337
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## Abstract The class of selfβcomplementary symmetric graphs is characterized using the classification of finite simple group.
A regular self-complementary graph is presented which has no complementing permutation consisting solely of cycles of length four. This answers one of Kotzig's questions.
In 1992, H. Zhang (J. Graph Theory 16, 1-5), using the classification of finite simple groups, gave an algebraic characterisation of self-complementary symmetric graphs. Yet, from this characterisation it does not follow whether such graphs, other than the well-known Paley graphs, exist. In this pap