Geodesic
Enumerating regular graph coverings whose covering transformation groups are ℤ_2-extensions of a cyclic group
Ars Mathematica Contemporanea, Tome 15 (2018) no. 1, pp. 205-223.

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Several types of the isomorphism classes of graph coverings have been enumerated by many authors. In 1988, Hofmeister enumerated the double covers of a graph, and this work was extended to n-fold coverings of a graph by the second and third authors. For regular coverings of a graph, their isomorphism classes were enumerated when the covering transformation group is a finite abelian or dihedral group. In this paper, we enumerate the isomorphism classes of graph coverings when the covering transformation group is a ℤ2-extension of a cyclic group, including generalized quaternion and semi-dihedral groups.
DOI : 10.26493/1855-3974.1419.3e9
Keywords: Graphs, regular coverings, voltage assignments, enumeration, Möbius functions (on a lattice), group extensions 
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Jian-Bing Liu; Jaeun Lee; Jin Ho Kwak. Enumerating regular graph coverings whose covering transformation groups are  ℤ_2-extensions of a cyclic group. Ars Mathematica Contemporanea, Tome 15 (2018) no. 1, pp. 205-223. doi : 10.26493/1855-3974.1419.3e9. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1419.3e9/

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