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Sep 17, 2017 at 20:07 comment added Vinicius dos Santos No, because when you take the transitive closure of the adjacency relation you get a reachability relation or, as you said, a relation that tells you whether two vertices belong to the same connected component.
Sep 17, 2017 at 16:43 comment added Bjørn Kjos-Hanssen So... transitive adjacency does not tell you when two vertices are adjacent.
Sep 17, 2017 at 11:11 comment added Vinicius dos Santos In the traditional graph interpretation, yes.
Sep 17, 2017 at 5:46 comment added Bjørn Kjos-Hanssen But adjacent means connected by 1 edge of the graph, right?
Sep 16, 2017 at 13:53 comment added Vinicius dos Santos Exactly. That's another way of stating it.
Sep 16, 2017 at 6:17 comment added Bjørn Kjos-Hanssen I guess transitive adjacency tells you when two vertices are in the same connected component.
Sep 16, 2017 at 2:43 history edited Vinicius dos Santos CC BY-SA 3.0
Typo
Sep 10, 2017 at 7:59 vote accept Aryeh Kontorovich
Oct 21, 2016 at 11:29 comment added Aryeh Kontorovich Thanks! Since asking the question, it's looking like I won't be needing this concept after all -- at least not for now :)
Oct 21, 2016 at 1:07 history answered Vinicius dos Santos CC BY-SA 3.0