Solution: Color the Graph
Explore a greedy algorithm approach to color graph vertices by assigning the first available color while ensuring adjacent vertices differ. Understand the step-by-step process and its time complexity of O(V² + E) for optimal graph coloring solutions.
We'll cover the following...
We'll cover the following...
Solution
Explanation
The solution is simple: assign the first available color and make that color unavailable for the adjacent vertices.
As seen above, start by coloring the first vertex with the first color. Then for the remaining vertices, color the current vertex with the lowest numbered color that has not been used on any previously colored vertices that are ...