What is graph theory and how is it used in computer science?

What is graph theory and how is it used in computer science?

Graph theory is a branch of mathematics that studies graphs, which are structures made up of vertices (nodes) and edges (connections). In computer science, it's used in various applications like network design, social network analysis, and algorithm optimization.

Can you give me an example of how graph theory is applied in real-world scenarios?

Sure! One common application is in routing algorithms for GPS systems, where graph theory helps find the shortest path between locations.

What are some important algorithms in graph theory?

Some key algorithms include Dijkstra's algorithm for shortest paths, Kruskal's and Prim's algorithms for minimum spanning trees, and the Depth-First Search (DFS) and Breadth-First Search (BFS) for traversing graphs.

How does graph theory relate to machine learning?

Graph theory is used in machine learning for tasks like clustering and classification, where relationships between data points can be represented as graphs, enabling better insights and predictions.