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Tworf
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How to Draw the planar embedding of a graph?

I am very interested to know how to Draw the planar embedding of a graph,I found this question from a friend, enter image description here

I cannot, find the planar embedding because it is a petersen graph and is not planar but in the following graph [![enter image description here][2]][2]

But the second one with the 16 vertices, I am unable to draw the planar embedding, isn't the graph itself the planar embedding?
[2]: https://i.sstatic.net/NcrcI.png

Tworf
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