They also claim that these results:

> ...are not sensitive to the choice of $k$. However, choosing too large $k$ values reduces the number of surviving links significantly, and therefore eliminates much of the effet. Choosing too small values of $k$, on the other hand, does not enable the elimination of blinking links, and therefore causes $n_k(y)$ to be more noisy, but the significant effect of breaking links is still evident.