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A complete classification of 3-(11, 4, 4) designs with nontrivial automorphism group

โœ Scribed by Z. Eslami; G. B. Khosrovshahi

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
94 KB
Volume
8
Category
Article
ISSN
1063-8539

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Symmetric designs with parameters (69, 1
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โœ Zdravka Bozห˜ikov ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 120 KB

According to Mathon and Rosa [The CRC handbook of combinatorial designs, CRC Press, 1996] there is only one known symmetric design with parameters (69, 17, 4). This known design is given in Beth, Jungnickel, and Lenz [Design theory, B. I. Mannheim, 1985]; the Frobenius group F39 of order 39 acts on

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A graph X is said to be 1 2 -transitive if its automorphism group acts transitively on the sets of its vertices and edges but intransitively on the set of its arcs. A construction of a 1 2 -transitive graph of valency 4 and girth 6 with a nonsolvable group of automorphism is given.