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- W3085367266 abstract "For the positive integer m, let $${mathbb {Z}}_m$$ denote the cyclic group of order m. Vertex-minimal planar graphs with prescribed automorphism group $${mathbb {Z}}_m$$ were first considered by Marušič. In particular, when m is odd he produced a vertex-minimal planar graph with $${mathbb {Z}}_m$$ -symmetry. Marušič then conjectured the order of a vertex-minimal planar graph with $${mathbb {Z}}_m$$ -symmetry when m is a power of 2; in this article, we prove his conjecture. We conclude by discussing vertex-minimal planar graphs with noncyclic automorphism groups and pose some open questions." @default.
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- W3085367266 date "2020-09-14" @default.
- W3085367266 modified "2023-09-25" @default.
- W3085367266 title "Vertex-minimal planar graphs with cyclic 2-group symmetry" @default.
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- W3085367266 doi "https://doi.org/10.1007/s10801-020-00964-1" @default.
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