(Left) <i>k</i>_max,in and (Right) <i>k</i>_max,in for Twitter reply networks.

<p>Each data point represents the observed maximum in- and out-degree, averaged over 100 simulated subsampling experiments. The dashed line extrapolates the predicted number of edges for greater proportions of sampled data.</p

Number of nodes in Twitter reply subnetworks.

<p>(Left) The quantity <i>N</i>_repliers is shown for Weeks 1 to 10, where each data point (dot) represents the average over 100 simulated subsampling experiments. The dashed line represents the best fitting model of the form <i>N</i>_repliers = <i>ax^b</i> to the observed data. We extrapolate this model to predict <i>N</i>_repliers. (Right) The same as panel, except for <i>N</i>_receivers.</p

(Left) Predicted <i>k</i>_max,in and (Right) <i>k</i>_max,out in Twitter reply networks.

<p>(Left) Predicted <i>k</i>_max,in and (Right) <i>k</i>_max,out in Twitter reply networks.</p

Failed link subnetwork.

<p>Hidden or missing links are depicted in grey. All nodes remain in the subnetwork and only visible or sampled links remain.</p

Summary of scaling techniques.

<p>Summary of scaling techniques.</p

(Left) <i>k</i>_avg,in and (Right) <i>k</i>_avg,in for Twitter reply networks.

<p>Each data point represents the observed average in- and out-degree, averaged over 100 simulated subsampling experiments. The dashed line extrapolates the predicted number of edges for greater proportions of sampled data.</p

Summary of weighted network experiments.

<p>Note: <i>w</i>(<i>e_j</i>) refers to the weight of edge <i>e_j</i>, refers to the strength of node ) and <i>randi</i>{1..9} refers to a randomly selected integers between 1 and 9 (inclusive).</p><p>Summary of weighted network experiments.</p

Weighted subnetwork generated from sampled interactions.

<p>(Left) An unsampled weighted network consists of nodes, links and weights representing the number of interactions represented by the link. (Right) Sampling by interacting produces a subsample whereby links are included in the subsample only if at least one interaction has been sampled. The subnetwork is the induced subgraph on these links with <i>w_i</i>≥1.</p

Node induced subnetwork on randomly sampled nodes.

<p>(Left) The true network is sampled by randomly selecting nodes (red). (Right) The node induced subnetwork consists of sampled nodes and edges whose endpoints both lie in the collection of sampled nodes.</p

Predicted edge weight and degree distributions for Twitter reply networks.

<p>(Top) The predicted edge weight distribution. (Bottom, left) Predicted <i>Pr</i>(<i>k</i>_in) and (Bottom, right) <i>Pr</i>(<i>k</i>_out) for Twitter reply networks.</p