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There are many interesting questions one can ask about a highly symmetric graph.
A graph with a transitive automorphism group can be obtained starting with a group
G and a small set S of generators....
A group has a planar Cayley complex if and only if it has a VAP-free Cayley graph
planar Cayley complex VAP-free Cayley graph
2010/11/23
We prove that a group has a planar Cayley complex if and only if it has a Cayley graph that can be embedded in the euclidean plane without accumulation points of vertices.