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][1]][1]

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]


  [1]: https://i.sstatic.net/119T2.png
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