Question: Question 1 : Suppose that a connected planar graph has 5 0 edges. If a planar representation of this graph divides the plane into 3

Question

1

: Suppose that a connected planar graph has

50

edges. If a planar representation of this graph divides the plane into

30

regions, how many vertices does this graph have?

Question

2

: Determine whether the given graph has an Euler circuit. Construct such a circuit when one exists. If no Euler circuit exists, determine whether the graph has an Euler path and construct such a path if one exists.

Question 1: Suppose that a connected planar graph has 50 edges.

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