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On the planarity of cyclic graphs. (English) Zbl 1393.05091

Summary: We classify all finite groups with planar cyclic graphs. Also, we compute the genus and crosscap number of some families of groups (by knowing that of the cyclic graph of particular proper subgroups in some cases).

MSC:

05C10 Planar graphs; geometric and topological aspects of graph theory
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)

Software:

GAP
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References:

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