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Possible degree sequences (non-increasing):
Edge set: say \( AB, BC, DE \). Then:
v=B: neighbors A,D → deg 2 → \( \deg(B)=2 \), neighbors A,D → pairs: AB, BD? BD not close → only AB ∈ E → so only one close pair in pairs among A,B,D → trio B,A,D has one close pair → not our case.

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