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Home » Red Sweater Alert! The One Apron-We Love It All Season Long! - Aurero

Red Sweater Alert! The One Apron-We Love It All Season Long! - Aurero

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 otin E \), and \( \{u,w\} \) is not in \( E \).

📌 So we must count, for each \( v \), the number of unordered pairs \( \{u,w\} \subseteq N(v) \) such that \( uw

📌 otin E \), where \( N(v) \) is the set of neighbors of \( v \) in \( E \).

📌 Letâs suppose the 3 edges are distributed. Letâs enumerate possible degree sequences with exactly 3 edges.

📌 Let \( G \) have 5 vertices and 3 edges.

📌 Possible degree sequences (non-increasing):

📌 Edge set: say \( AB, BC, DE \). Then:

📌 v=B: neighbors A,D â deg 2 â \( \deg(B)=2 \), neighbors A,D â pairs: AB, BD? BD not close â only AB â E â so only one close pair in pairs among A,B,D â trio B,A,D has one close pair â not our case.

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