I have to find an exemple on a 2-connected planar graph whose drawing are all topologically isomorphic but its planar embeddings are not equivalent. I thought to use an cycle and some overturning to changes vertex order. Any help?
Planar graph with all drawing topologically isomorphic , but whose planar embending are not equivalent
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graph-theory
1 Answers
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Consider a square with a diagonal. This graph can also be drawn as a triangle with an interior point adjacent to two vertices of the triangle.