Constructing a Graph The following table lists five students at a college. An “x" indicates that two students participate in the same study group this semester. Matt Amber Oscar Laura Kayla Matt X X Amber X X Oscar X X Laura Кayla X a. Draw a graph that represents this information where each vertex represents a student and an edge connects two vertices if the corresponding students study together. b. Use your graph to answer the following questions: 1. Which student is involved in the most study groups with the others? 2. Which student has only one study group in common with the others? 3. How many study groups does Laura have in common with the others?

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