Geodesic
Arc-transitive dihedral regular covers of cubic graphs
Jicheng Ma1
1Chongqing University of Arts and Sciences
The electronic journal of combinatorics, Tome 21 (2014) no. 3
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A regular covering projection is called dihedral or abelian if the covering transformation group is dihedral or abelian. A lot of work has been done with regard to the classification of arc-transitive abelian (or elementary abelian, or cyclic) covers of symmetric graphs. In this paper, we investigate arc-transitive dihedral regular covers of symmetric (arc-transitive) cubic graphs. In particular, we classify all arc-transitive dihedral regular covers of $K_4$, $K_{3,3}$, the 3-cube $Q_3$ and the Petersen graph.
DOI : 10.37236/4035
Classification : 05C70, 05C25, 20B25
Mots-clés : arc-transitive graph, regular cover, dihedral cover, cubic graph

Jicheng Ma  1

1 Chongqing University of Arts and Sciences 
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     title = {Arc-transitive dihedral regular covers of cubic graphs},
     journal = {The electronic journal of combinatorics},
     year = {2014},
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     doi = {10.37236/4035},
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Jicheng Ma. Arc-transitive dihedral regular covers of cubic graphs. The electronic journal of combinatorics, Tome 21 (2014) no. 3. doi: 10.37236/4035

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