How to show that this graph is planar?-Formal Proof How to show that this graph is planar?
I am unable to write a formal proof

In the book the answer is given that this graph is planar.
Can you kindly say how to prove that this graph has no subgraph homeomorphic to $K_5$ or $K_{3,3}$?
I find that this graph has two vertices $[0],[4]$ of degree $8$ and all other vertices are connected to these two. 
How to show that this graph is planar?
Please help.


You can formally prove that something is possible by doing it.
