Having a path, either directed or undirected, connecting every pair of vertices.
Having favorable rapport with a powerful entity.
Intimate; Having bonds of affection.
Involved with organized crime, specifically someone not (yet) working for a crime organization, but referred to as a "friend" by made guys/wise guys inside the organization.
Having or supporting connections, especially when through technology such as networking software or a transportation network.
That cannot be partitioned into two nonempty open sets.
Having relationships; involved with others.