Geodesic
Tetravalent non-normal Cayley graphs of order \(4p\)
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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A Cayley graph ${\rm Cay}(G,S)$ on a group $G$ is said to be normal if the right regular representation $R(G)$ of $G$ is normal in the full automorphism group of ${\rm Cay}(G,S)$. In this paper, all connected tetravalent non-normal Cayley graphs of order $4p$ are constructed explicitly for each prime $p$. As a result, there are fifteen sporadic and eleven infinite families of tetravalent non-normal Cayley graphs of order $4p$.
DOI : 10.37236/207
Classification : 05C25, 20B25 
@article{10_37236_207,
     author = {Jin-Xin Zhou},
     title = {Tetravalent non-normal {Cayley} graphs of order \(4p\)},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/207},
     zbl = {1186.05069},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/207/}
}
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Jin-Xin Zhou. Tetravalent non-normal Cayley graphs of order \(4p\). The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/207

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