Symmetric graph designs, or SGDs, were defined by Gronau et al. as a common generalization of symmetric BIBDs and orthogonal double covers. This note gives a classification of SGDs admitting a 2-transitive automorphism group. There are too many for a complete determination, but in some special cases
Steiner triple systems with a doubly transitive automorphism group
β Scribed by Marshall Hall Jr.
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 490 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
A Steiner triple system of order u is said to be k-transrotational if it admits an automorphism consisting of a fixed point, a transposition, and k cycles of length (u-3)/k. Necessary and sufficient conditions are given for the existence of l-and 2-transrotational Steiner triple systems.
Generalized Steiner triple systems, GS(2, 3, n, g) are used to construct maximum constant weight codes over an alphabet of size g 1 with distance 3 and weight 3 in which each codeword has length n. The existence of GS(2, 3, n, g) has been solved for g 2, 3, 4, 9. In this paper, by introducing a spec
A graph is said to be 1 2 -transitive if its automorphism group acts transitively on vertices and edges but not on arcs. For each n 11, a 1 2 -transitive graph of valency 4 and girth 6, with the automorphism group isomorphic to A n \_Z 2 , is given.