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Problems related to graph drawing such as crossing numbers, layout designs, and intersection graphs.
4
votes
Visualizing polyhedra from their 1-skeletons
For your question (1), there is an efficient algorithm [1] known for finding an embedding of a graph in the plane if an embedding exists.
This, however, might not be the end of the story. You may wan …
8
votes
Is every graph an edge-crossing graph?
No, and you can see this from just a counting argument.
For determining which of the $ n $ chords of the circle intersect, it is enough to know the order of the $ 2n $ endpoints on the circle. (You …