The paper establishes the first finite-sample normal approximation bounds for the numbers of isolated edges and isolated 2-stars in uniform simple graphs with prescribed degrees, via new joint normal-Poisson Stein's method and indicator coupling.
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Normal approximation of the numbers of isolated edges and isolated 2-stars in uniform simple graphs with given vertex degrees
The paper establishes the first finite-sample normal approximation bounds for the numbers of isolated edges and isolated 2-stars in uniform simple graphs with prescribed degrees, via new joint normal-Poisson Stein's method and indicator coupling.