Multiple choice

Let G be a simple undirected planar graph on 10 vertices with l5 edges. If G is a connected graph, then the number of bounded faces in any embedding of G on the plane is equal to

  1. 3

  2. 4

  3. 5

  4. 6

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We have the relation V – E + F = 2, by this we will get the total number of faces, F = 7. Out of 7 faces one is an unbounded face, so total 6 bounded faces.