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1. Given the following graph a. Is the above graph bipartite? Why, why not? Support your answer with explanation. b. Using the above graph, show

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1. Given the following graph a. Is the above graph bipartite? Why, why not? Support your answer with explanation. b. Using the above graph, show that the Handshake Theorem works. 2. Draw all simple un-labelled graphs with three vertices. How many are there? a. Which of the graphs above are connected? b. Which of the graphs you drew are special graphs and why? 3. There are 31 phones in Geeksland. Is it possible to connect them with wires, so that each phone is connected to exactly three other phones? Why, why not justify your

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