Network depth: a demo

This is a small demo related to our (Giulia Bertagnolli, Claudio Agostinelli, Manlio De Domenico) recent work, Network depth: identifying median and contours in complex networks, Journal of Complex Networks 8 (4). doi: 10.1093/comnet/cnz041. arXiv:1904.05060.

Network Scientists 2010

The Network Scientists 2010 networkdownload data – is a co-authorship network with \(N=552\) nodes.

The node size in the following plot depends on degree (quantiles).

Depth Patterns

The following plot(ly) shows depth patterns in three diffusion embeddings:

  • \(p = 5, 10, 15\), the embedding dimension can be controlled through the slider on the bottom of the figure;
  • \(t\), diffusion time is on the x-axis
  • \(PTD(D_t, t, p)\), depth values on the y-axis

Each nodes corresponds to a line.

Explore the plot through plotly sliders and interaction tools!