Define path

Informally, a path is a sequence of edges that begins at a vertex of a graph and travels from vertex to vertex along edges of the graph. As the path travels along its edges, it visits the vertices along this path, that is, the endpoints of these edges.

Path Example

Degrees of Separation

Erdős numbers

Bacon Numbers

Define connected vs disconnected

Define connected component

Define strongly connected vs weekly connected

Define strongly connected components

The Connected Components of the Web Graph

Define Cut Vertices and Cut Edges

Cut Vertices and Cut Edges Example

The Definition of Matrix Multiplication

Counting Paths between Vertices Therem

Counting Paths between Vertices Example
