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.
On strongly regular self - complementary graphs
β Scribed by Sergio Ruiz
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 133 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
It is shown that certain conditions assumed on a regular selfβcomplementary graph are not sufficient for the graph to be strongly regular, answering in the negative a question posed by Kotzig in [1].
π SIMILAR VOLUMES
## Abstract We apply symmetric balanced generalized weighing matrices with zero diagonal to construct four parametrically new infinite families of strongly regular graphs. Β© 2003 Wiley Periodicals, Inc. J Combin Designs 11: 208β217, 2003; Published online in Wiley InterScience (www.interscience.wil
## Abstract The class of selfβcomplementary symmetric graphs is characterized using the classification of finite simple group.
We consider strongly regular graphs in which each non-adjacent pair of vertices has exactly one common neighbour. These graphs give rise to partial linear spaces (one of which is a partial quadrangle) and a distance-regular graph of diameter three. The lower bound for the valency of the graph in ter