What are some examples of graph coloring problems?

What are some examples of graph coloring problems?

Graph coloring involves assigning colors to vertices of a graph so that no two adjacent vertices share the same color. Examples include scheduling problems, map coloring, and register allocation in compilers.

Can you explain the four color theorem?

The four color theorem states that any planar map can be colored using no more than four colors, ensuring that no adjacent regions share the same color.

What are some real-world applications of graph coloring?

Real-world applications include scheduling tasks, assigning frequencies in mobile networks, and optimizing resource allocation.

How do you approach solving a graph coloring problem?

To solve a graph coloring problem, you can use algorithms like backtracking, greedy coloring, or even heuristic methods depending on the graph's complexity.