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.
To sum up, if (t 3t4)∩α ′ ̸=∅, we may assume thatt 3t4 coincides with an edge ofα ′, and then (t3t4)∩(t ′ 3t′
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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.