Question: Graph Theory You need to show all your work 1. Find the smallest number of colors needed to color the faces of the following graph

Graph Theory

You need to show all your work

1. Find the smallest number of colors needed to color the faces of the following graph properly. Explain why. 2. Find the dual of the following planar graph. U2 U3 V5 V13. Find the matching number of the following graph. Justify your anwer

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1. Find the smallest number of colors needed to color the faces of the following graph properly. Explain why. V6 V2 V3 V5 V1 V4

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