What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling across edges, we can get from one vertex to any other vertex in a graph, then it is connected. If a graph is not connected, which means there exists a pair of vertices in the graph that is not connected by a path, then we call the graph disconnected. A disconnected graph is comprised of connected subgraphs called components.

I hope you find this video helpful, and be sure to ask any questions down in the comments!

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