Source : Free On-Line Dictionary of Computing

connected graph
     
         A {graph} such that there is a path between any
        pair of nodes (via zero or more other nodes).
     
        Thus if we start from any node and visit all nodes connected
        to it by a single edge, then all nodes connected to any of
        them, and so on, then we will eventually have visited every
        node in the connected graph.
     
        (1996-09-22)