Distance-regular extensions of strongly regular graphs with eigenvalue 2
โ Scribed by I. N. Belousov, A. A. Makhnev, M. S. Nirova
- Book ID
- 118725278
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2012
- Tongue
- English
- Weight
- 214 KB
- Volume
- 86
- Category
- Article
- ISSN
- 1064-5624
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
Let \(G\) be a distance-regular graph. If \(G\) has an eigenvalue \(\theta\) of multiplicity \(m\) \((\geqslant 2)\), then \(G\) has a natural representation in \(R^{m}\). By studying the geometric properties of the image configuration in \(R^{m}\), we can obtain considerable information about the g