Embeddings of (proper) power graphs of finite groups

A. Doostabadi, M. Farrokhi D. G.


The (proper) power graph of a group is a graph whose vertex set is the set of all (nontrivial) elements of the group and two distinct vertices are adjacent if one is a power of the other. Various kinds of planarity of (proper) power graphs of groups are discussed.


power graph, planar graph, outerplanar graph, ring graph, 1-planar graph, almost planar graph, maximal planar graph, toroidal graph, projective graph

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