Thread: faces of a graph

Let

G be a connected 3-regular planar graph in which every vertex lies on one face of length 4, one face of length 6 and one face of length 8.

(a)

Write down the number of faces of each length in terms of v, the number of vertices of G.

(b) Use Euler's formula and part (a) to determine the number of faces of G.

I see that you have some other postings, more than 170.
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