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Let G be a simple graph having at least one edge, and let L(G) be its...

Let G be a simple graph having at least one edge, and let L(G) be its line graph. (a) Show that χ0(G) = χ(L(G)). (b) Assume that the highest vertex degree in G is 3. Using the above, show Vizing’s Theorem for G. You may use any theorem from class involving the chromatic number, but no theorem involving the chromatic index

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