What is a Traversable Graph in Graph Theory?

In the context of graph theory, a traversable graph is a graph in which it is possible to traverse all the vertices and edges. In other words, it is a graph that allows us to visit every vertex exactly once and return to the starting vertex.

A traversable graph is also known as a connected graph, because it is a graph in which all the vertices are connected to each other.

For example, consider a simple graph with three vertices A, B, and C, where there is an edge between A and B, an edge between B and C, and an edge between A and C. This graph is traversable because we can start at vertex A, follow the edges to B and then to C, and return to A.

On the other hand, a graph with two disconnected components, such as two separate graphs, is not traversable because it is not possible to visit every vertex exactly once and return to the starting vertex.