For step-graphons the probability of a node-disjoint cycle cover in the sampled graph converges to 0 or 1 at either an exponential rate or a root-n rate.
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Convergence rate of $H$-property for step-graphons
For step-graphons the probability of a node-disjoint cycle cover in the sampled graph converges to 0 or 1 at either an exponential rate or a root-n rate.