科研之友
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摘要
We classify noncomplete prime valency graphs satisfying the property that their automorphism group is transitive on both the set of arcs and the set of 2-geodesics. We prove that either is 2-arc transitive or the valency p satisfies p=1 (mod 4), and for each such prime there is a unique graph with this property: it is a nonbipartite antipodal double cover of the complete graph Kp+1 with automorphism group PSL(2,p)xZ2 and diameter 3.
- 出版日期2015-9
- 单位江西财经大学
