| 1. | In particular, every planar graph has a planar arc diagram.
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| 2. | For a planar graph, the crossing number is zero by definition.
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| 3. | It is also a 3-non-planar graph.
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| 4. | Of these graphs, the first four are planar graphs.
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| 5. | The graph of eodermdrome is the non-planar graph K 5.
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| 6. | Planar graphs generalize to graphs drawable on a surface of a given genus.
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| 7. | For planar graphs, the branchwidth can be computed exactly in polynomial time.
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| 8. | Apollonian networks are chordal maximal planar graphs, or equivalently planar 3-trees.
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| 9. | Therefore, strangulated graphs include maximal planar graphs.
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| 10. | It remains NP-complete for planar graphs.
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