Q3.a) State Euler's formula for a planar graph.Q3.b) Draw any planar graph (planar depiction) with v=6 vertices. Find e and r. Verify that the Euler formula is satisfied.Q3.c) Use Euler's formula to show that if G is a connected, bipartite planar graph, then e=2v-4. Hint: A bipartite graph (with no loops and multiple edges) has no triangles, so the degree of any region is 4.Q3.d) Write the contrapositive of the implication in Q3(c).Q3.e) Give a sketch of the bipartite graph K3. Use the result in
Q3.a) State Euler's formula for a planar graph.Q3.b) Draw any plan…
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