𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A �-transitive graph of valency 4 with a nonsolvable group of automorphisms

✍ Scribed by Maru?i?, Dragan; Xu, Ming-Yao

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
108 KB
Volume
25
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Half-transitive graphs of valency 4 with
Half-transitive graphs of valency 4 with prescribed attachment numbers
✍ Maru?i?, Dragan; Waller, Adrian O. 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 134 KB 👁 1 views

A graph X is said to be 1 2 -transitive if its automorphism group Aut X acts vertex-and edge-, but not arc-transitively on X. Then Aut X induces an orientation of the edges of X. If X has valency 4, then this orientation gives rise to so-called alternating cycles, that is even length cycles in X who

Symmetric designs with parameters (69, 1
Symmetric designs with parameters (69, 17, 4) and F39 as a group of automorphisms
✍ Zdravka Boz˘ikov 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 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