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Almost covers of 2-arc transitive graphs

✍ Scribed by Sanming Zhou


Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
70 KB
Volume
27
Category
Article
ISSN
0209-9683

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πŸ“œ SIMILAR VOLUMES


On 2-Arc-Transitive Covers of Complete G
✍ Shao-fei Du; Dragan MaruΕ‘ič; Adrian O Waller πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 282 KB

Regular covers of complete graphs which are 2-arc-transitive are investigated. A classification is given of all such graphs whose group of covering transformations is either cyclic or isomorphic to Z p \_Z p , where p is a prime and whose fibrepreserving subgroup of automorphisms acts 2-arc-transiti

On Graphs Admitting Arc-Transitive Actio
✍ Xin Gui Fang; Cheryl E Praeger πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 217 KB

Let ⌫ be a finite connected regular graph with vertex set V ⌫, and let G be a subgroup of its automorphism group Aut ⌫. Then ⌫ is said to be G-locally primiti¨e if, for each vertex ␣ , the stabilizer G is primitive on the set of vertices adjacent to ␣ ␣. In this paper we assume that G is an almost s

Stability of arc-transitive graphs
✍ David B. Surowski πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 169 KB

## Abstract The present paper investigates arc‐transtive graphs in terms of their stability, and shows, somewhat contrary to expectations, that the property of instability is not as rare as previously thought. Until quite recently, the only known example of a finite, arc‐transitive vertex‐determini

Antipodal Distance Transitive Covers of
✍ C.D. Godsil; R.A. Liebler; C.E. Praeger πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 352 KB

A distance-transitive antipodal cover of a complete graph K n possesses an automorphism group that acts 2-transitively on the fibres. The classification of finite simple groups implies a classification of finite 2-transitive permutation groups, and this allows us to determine all possibilities for s