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

โœ Scribed by Wen-Bin Guo; A. A. Makhnev; D. V. Paduchikh


Book ID
110149555
Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
638 KB
Volume
86
Category
Article
ISSN
0001-4346

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Structure and uniqueness of the (81, 20,
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