Latent geometry of bipartite networks

• https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.032309
• Maksim Kitsak, Fragkiskos Papadopoulos, and Dmitri Krioukov

The distribution of the number of shared nodes has a heavy tail in many Bipartite network, which can’t be explained by the degree alone. This is like saying that there are way more 4-loops than expected.

The representation model is $\mathbb{S}_1 \times \mathbb{S}_1$ proposed in Serrano2012uncovering.

In the appendix, the paper shows that the model is approximately equivalent to a $\mathbb{H}_2 \times \mathbb{H}_2$ model, where the degree emerges from radial coordinates.

See also Mercator and variations.