Find the chromatic number of the graph below and prove you are correct.
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Discrete Math: Euler Circuits and Euler Trails
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- 28. Chromatic questions (ExH). Find the chromatic number for each graph below. (a) (b) (c) (d) Expanded Hint Remember that you want to find the smallest number of colors you need so that you can assign a color to each vertex in such a way that vertices joined by an edge get different colors. For graph (a), try a greedy approach. Pick a vertex and color it. Then go to that vertex's neighbors and color them a different color. Introduce a new color only if you need to. Reuse an old color whenever you can. How many colors have you used when you're done? What about graph (b)? Does the same approach work?Define Mycielski’s construction. Use this to obtain a graph with chromatic number4 from K2.What is the chromatic number of the following graph? explain 8. 8. 9. 10 none of these options
