A graph with 7 vertices and 10 edges is shown. Vertex a is connected to vertex b, to vertex d, and to vertex g. Vertex b is connected to vertex a and to vertex c. Vertex c is connected to vertex b, to vertex d, and to vertex e. Vertex d is connected to vertex a, to vertex c, to vertex e, and to vertex g. Vertex e is connected to vertex c, to vertex d, and to vertex f. Vertex f is connected to vertex e and to vertex g. Vertex g is connected to vertex a, to vertex d, and to vertex f.   In the above graph, the vertices represent committees and the edges represent members in common between committees. Determine the smallest number of time slots for all committees to meet. 1. Identify a graph coloring for this graph using the technique discussed in class to get a minimum number of colors. For your answer below, indicate which vertex you color first and the color you gave it, which vertex you color next and its color, until you have given each vertex and its color. For example, A Blue, B Blue, C Yellow means I colored A first, B second, C third with the colors given. 2. What is the minimum number of time slots needed for all the committees to meet?

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A: Answer :- We know from the Euler formula that  v+f =e+2

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A: We have to solve given problem: