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📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📝 Recent Posts

But we fix the set of 3 close pairs. We need among all 3-edge sets wit...
Alternate approach: total number of trios with exactly two close pairs...
Each such trio corresponds to a 2-edge path (i.e., two adjacent edges...
For each internal node of degree at least 2 in the close pair graph, w...
Let \( G \) be the graph with 5 vertices and 3 edges. Let \( d(v) \) b...
A path of length 2 is determined by a middle vertex and two neighbors.
But we need the path to have *exactly* two edges in \( E \), and the t...
So for each vertex \( v \), the number of paths of length 2 with cente...
But we must ensure that no additional edge exists, but since we are co...
So total number of such trios is the number of unordered triples \( \{...

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