(a) Prove that for all n > 6, if a connected n-vertex graph has n+ 2 edges or fewer, then it is planar. (b) Prove that for all n> 6, there is a connected n-vertex graph with n +3 edges which is not...


(a) Prove that for all n > 6, if a connected n-vertex graph has n+ 2 edges or fewer, then it<br>is planar.<br>(b) Prove that for all n> 6, there is a connected n-vertex graph with n +3 edges which is<br>not planar.<br>

Extracted text: (a) Prove that for all n > 6, if a connected n-vertex graph has n+ 2 edges or fewer, then it is planar. (b) Prove that for all n> 6, there is a connected n-vertex graph with n +3 edges which is not planar.

Jun 08, 2022
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