What is graph coloring in computer science?

What is graph coloring in computer science?

Graph coloring is an assignment of labels (colors) to the vertices of a graph such that no two adjacent vertices share the same color.

Why is graph coloring important?

Graph coloring is crucial in various applications like scheduling, register allocation in compilers, and frequency assignment in mobile networks.

Can you explain the different types of graph coloring?

Sure! There are several types, including proper coloring, vertex coloring, edge coloring, and face coloring, each serving different purposes.

What algorithms are used for graph coloring?

Common algorithms include the Greedy algorithm, Backtracking, and DSATUR, each with its own advantages depending on the graph's properties.

Are there any real-world applications of graph coloring?

Yes, real-world applications include scheduling tasks, map coloring, and optimizing network frequencies.