adjective

• (usually with "well-"): Having favorable rapport with a powerful entity.
• Having relationships; involved with others.
• (Canada, US) 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.
• Intimate; having bonds of affection.
• (mathematics, topology, of a topological space) That cannot be partitioned into two nonempty open sets.
• (mathematics, graph theory, of a graph) Having a path, either directed or undirected, connecting every pair of vertices.
• Having or supporting connections, especially when through technology such as networking software or a transportation network.