👉 A well-connected graph is a graph that has at least one vertex connected to all other vertices. In other words, it's a graph in which any two distinct vertices are connected by exactly one path. In a well-connected graph, each vertex can be reached from every other vertex using only the outgoing edges of that vertex. This condition ensures that no cycle exists within the graph, as cycles would require more than one path to traverse them back to their starting points. For example, consider the following graph