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  3. let g be a simple planar graph with no triangles.

Let G be a simple planar graph with no triangles. (a) Show that G has a...

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Advance Math

Let G be a simple planar graph with no triangles.

(a) Show that G has a vertex of degree at most 3. (The proof wassketched in the lectures, but you must write all the details, andyou may not just quote the result.)

(b) Use this to prove, by induction on the number of vertices,that G is 4-colourable.

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