# 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 network – download 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!