If you set connections below a threshold strength to zero, a healthy community is probably a random forest with trees of all sizes from say 1 (=isolates desperate for connection) to ~n/2 (“normies”).
Newcomers can “climb” the friendship gradient from smallest to largest trees.
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If everyone knows everyone in a community, it’s probably insular. Takes a loosely woven, sparse social graph with lots of weak links to absorb new people.
There’s such a thing as being socially overnetworked.
The smaller a community the easier it is for it to fail that way.
