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Use the procedure GREEDY to obtain the number of colors needed to color the following two graphs: (a) What is the number of colors needed

Use the procedure GREEDY to obtain the number of colors needed to color the following two graphs:

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(a) What is the number of colors needed to color each of the graphs according to procedure GREEDY?

(b) What is the chromatic number for each of the graphs? (the chromatic number of a graph = the minimum number of colors needed to color the graph).

(c) If the number of colors obtained in either case a) or the case b) by using procedure GREEDY results in the number of colors which is greater than the chromatic number for a graph, check if the change in the order of the vertices of the graph would result in the minimum number of colors needed to color the graph. If it does, provide that order.

V5 06 U2 U1 Vi U5 UA U3 U2 V7 06

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