Classification of primitive (J1, 2)-arc transitive graphs
β Scribed by Ding Shifeng
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2006
- Tongue
- English
- Weight
- 409 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1005-1031
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## Abstract The present paper investigates arcβtranstive 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, arcβtransitive vertexβdetermini
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