Prove or disprove: Any greedy coloring over the vertices of P for all n > 3 gives a proper coloring of Pn with exactly 2 colors. 2. Apply Greedy Algorithm on the following graph using the vertex ordering V1, V2, obtain a proper coloring of the graph. V5 to 02 V5 V4 V1 3. Find x(G), where G is the following graph. Justify your answer. V6 V2 V3 V5 V1 VA 4. Find the chromatic polynomial of the following graph. 02 V5 V3 V1 V4