Hi all,

I have run into a runtime/complexity question where I am wondering if someone can give me insights into why this might happen.

I have conducted the following steps:

1.) Create some random network
2.) Calculate eigenvector centrality
3.) Sample 10% random nodes
4.) Filter graph by nodes
5.) Calculate eigenvector centrality on sample

I have observed that for the sample, the eigenvector centrality calculation takes much longer, in some cases (dependent e.g., on block structure) it takes way longer (like 30 times longer).

I am now trying to figure out why this is the case. I assume it has something to do with the convergence which might be probably because links are missing in the sample. If I do the same for e.g., PageRank the difference is not that drastic (it still takes longer in the sample).

Does anyone have an idea what is going on here?

Thanks,
Philipp
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