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Home » Caught in a Melody: These Chords Are Swept by Unbreakable Love! - Appcentric

Caught in a Melody: These Chords Are Swept by Unbreakable Love! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📝 Recent Posts

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 \( \{...
Each such triple is counted once, and corresponds to a middle vertex \...
So sum over \( v \), number of ways to choose two neighbors: \( inom{...
So for a triple \( \{u,v,w} \) to have exactly two close pairs, it mus...
So for vertex \( v \), number of pairs \( (u,w) \) such that \( uv \in...
otin E \), and \( \{u,w\} \) is not in \( E \).
So we must count, for each \( v \), the number of unordered pairs \( \...

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