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On Locally Primitive Graphs of Order 18p |
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| Authors: | Hua HAN and Zaiping LU |
| Institution: | Center for Combinatorics,LPMC-TJKLC, Nankai University,Tianjin 300071, China; College of Science, Tianjin University of Technology,Tianjin 300384, China. and College of Science, Tianjin University of Technology, Tianjin 300384, China. |
| 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 |
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