On Locally Primitive Graphs of Order 18p

Citation:

Hua HAN,Zaiping LU.On Locally Primitive Graphs of Order 18p[J].Chinese Annals of Mathematics B,2015,36(6):919~936
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Authors:

Hua HAN; Zaiping LU
Abstract: The authors investigate locally primitive bipartite regular connected graphs of order $18p$. It is shown that such a graph is either arc-transitive or isomorphic to one of the Gray graph and the Tutte $12$-cage.

Keywords:

Locally primitive graph, Arc-transitive graph, Normal cover, Quasi-primitive group

Classification:

05C25, 20B25
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