Some new strongly regular graphs
β Scribed by A. E. Brouwer; A. V. Ivanov; M. H. Klin
- Publisher
- Springer-Verlag
- Year
- 1989
- Tongue
- English
- Weight
- 318 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0209-9683
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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
Strongly regular graphs lie on the cusp between highly structured and unstructured. For example, there is a unique strongly regular graph with parameters (36; 10; 4; 2), but there are 32548 non-isomorphic graphs with parameters (36; 15; 6; 6). (The ΓΏrst assertion is a special case of a theorem of Sh
In [1] N.L. Biggs mentions two parameter sets for distance regular graphs that are antipodal covers of a complete graph, for which existence of a corresponding graph was unknown. Here we settle both cases by proving that one does not exist, while there are exactly two nonisomorphic solutions to the