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Home » $6\binom86 = 6 \cdot 28 = 168$ - Imagemakers

$6\binom86 = 6 \cdot 28 = 168$ - Imagemakers

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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So star with 3 edges: only 3 close pairs, but no trio has exactly 2.
Case 2: The three close pairs form a path: \( AB, BC, CD \). Edges: AB...
So one two-edge path with distinct middle vertex.
Number of such paths: a path of 3 nodes has 2 endpoints and one middle...
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.

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