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But in this configuration, the three close pairs are AB, BC, and⦠CD? No â we have only AB, BC, and DE â not CD. So trio A,B,C has AB and BC â two close pairs â valid.
District: v=B has neighbors A and C, both connected by edges â \( inom{2}{2} = 1 \) path: A-B-C.
So contributes 1.
But is there another? Is the edge set symmetric?
Alternatively, suppose edges are AB, AC, BD.
Then vertex A: neighbors B,C â deg 2, neighbors B,C â both in edge set â pairs AB, AC in E â trio A,B,C: AB, AC, BC â AB, AC â E â two â yes. And BC? not in E â so valid. So this trio has two close pairs.
Count: v=A: \( inom{2}{2} = 1 \) path (B-A-C).
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