Greedy Coloring is a simple algorithm used in graph theory to assign colors to the vertices of a graph. The goal is to ensure that no two adjacent vertices share the same color. The algorithm works by iterating through each vertex and assigning the smallest available color that hasn't been used by its neighbors. This approach is efficient but does not always produce the optimal solution, meaning it may use more colors than necessary. This method is particularly useful in scheduling problems, map coloring, and register allocation in computer science. While it is easy to implement, the effectiveness of Greedy Coloring can vary depending on the structure of the graph being colored.