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Help! Graph theory: deciding whether a graph is planar or non-planar watch

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    Right. You are given a graph and you are asked to find a subgraph that is isomorphic to a subdivision of K_5 or K_{3,3}. If you can find one, then the graph is non-planar; if you can't, then the graph is planar.

    I don't know how to go about finding a subgraph that may or may not be isomorphic to a subdivision of K_5 or K_{3,3}. Does anyone know of an appropriate, efficient method of doing so?
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    Anyone? :help:
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    I suspect there isn't a particularly general method or efficient algorithm.
 
 
 
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Updated: January 18, 2010
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