Establishes the first finite-sample normal approximation bounds for isolated edges and isolated 2-stars in uniform simple graphs with given degrees via new Stein's method and coupling.
In view of Lemma C.9, there are four possible cases in total aboutα∩β̸=∅, α̸=βand α′ ∩β ′ ̸=∅, α ′ ̸=β ′
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Normal approximation of the numbers of isolated edges and isolated 2-stars in uniform simple graphs with given vertex degrees
Establishes the first finite-sample normal approximation bounds for isolated edges and isolated 2-stars in uniform simple graphs with given degrees via new Stein's method and coupling.