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Automorphisms of coverings of the strongly regular graph with parameters (81, 20, 1, 6)

โœ Scribed by A. A. Makhnev; D. V. Paduchikh

Book ID
111454724
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
172 KB
Volume
78
Category
Article
ISSN
1064-5624

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Structure and uniqueness of the (81, 20,
Structure and uniqueness of the (81, 20, 1, 6) strongly regular graph
โœ A.E. Brouwer; W.H. Haemers ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 409 KB

We prove that there is a unique graph (on 81 vertices) with spectrum 20'2"'(-7)\*". We give several descriptions of this graph, and study its structure. Let r = (X, E) be a strongly regular graph with parameters (v, k, ;1, p) = (81, 20, 1,. Then r (that is, its O-l adjacency matrix A) has spectrum