Corollary: Planarity of Subdivisions

(related to Definition: Subdivision of a Graph)

If \(G\) is a planar graph, then every subdivision of \(G\) is planar.

Equivalently,

If \(G\) is a subdivision of a non-planar graph, then \(G\) is non-planar.

Proofs: 1


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References

Bibliography

  1. Aldous Joan M., Wilson Robin J.: "Graphs and Applications - An Introductory Approach", Springer, 2000