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Distance-regular extensions of strongly regular graphs with eigenvalue 2

โœ 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

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โœ A.E Brouwer ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 124 KB

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

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โœ R.R. Zhu ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 939 KB

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