connected

Having favorable rapport with a powerful entity.

Of course, he has very little money, and is rather shy in manner, but he is very well-connected.

In human society, there is an irreconcilable conflict between the concept of financial wellbeing of the individual and the pernicious desire for increased wealth of the politically well connected.

Having relationships; involved with others.

By his father's side Mr Trumbull was connected with one of the most honorable and conspicuous families of his native state.

She is descended, on the father's side, from an ancient family in Northumberland, not remotely connected with nobility ; and there is a quaint rhyme current in the north country, which promises the name a long duration.

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.

It wasn't as though there were groups of kids from mob-connected families who socialized exclusively; in fact, a consequence of growing up in a huge city like New York was that you had several groups of friends, simply due to the number and density of people.

Intimate; having bonds of affection.

We were sitting on his bed and I was doing a lot of mirroring and chatting and just having a very connected conversation.

Once again they became best friends and were very connected to each other emotionally.

That cannot be partitioned into two nonempty open sets.

As a combinatorial subject, the connected dominating set has been studied in as early as 1970s.