1. Consider using a greedy strategy to solve the graph coloring problem. Given a

Question

1. Consider using a greedy strategy to solve the graph coloring problem. Given an undirected graph G = (V, E), you must color the vertices using the fewest colors, so that no two adjacent vertices have the same color. A greedy approach might use depth-first search to traverse the graph. When visiting a vertex u, assign u the smallest available color that would not conflict with its neighbors. See the example provided in class. (a) Construct a graph for which this method would produce an optimal coloring. Show the coloring obtained and prove that it is optimal. (b) Construct a graph for which this method would produce a suboptimal coloring. Show the coloring obtained and prove that it is suboptimal.

Explanation / Answer

Following is the basic Greedy Algorithm to assign colors. It doesn

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.