Connected Components A connected component is a group of vertices in a graph that are interconnected by paths. In other words, they are a collection of vert...
Connected Components
A connected component is a group of vertices in a graph that are interconnected by paths. In other words, they are a collection of vertices that are reachable from each other.
Examples:
The vertices A, B, and C are connected because they are directly connected by paths.
The vertices A, B, and D are connected because they are indirectly connected by path E.
The vertices A, B, and F are not connected because they are not directly connected by paths.
Important Properties of Connected Components:
A connected component is a connected set of vertices.
The number of connected components in a graph is equal to the number of connected components minus 1.
The vertices in a connected component are all reachable from each other.
Applications of Connected Components:
Connected components are used in a variety of computer science applications, including:
Graph algorithms (e.g., finding shortest paths, finding connected components)
Computer graphics (e.g., rendering 3D scenes)
Network analysis (e.g., finding internet connections)