A note on 1-planar graphs with minimum degree 7

10/03/2019

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by   Therese Biedl, et al.

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It is well-known that 1-planar graphs have minimum degree at most 7, and not hard to see that some 1-planar graphs have minimum degree exactly 7. In this note we show that any such 1-planar graph has at least 24 vertices, and this is tight.