Curvature shows where a graph squeezes information through bottlenecks. Lifting those backbones to hyperedges lets messages travel further.
The research
Graphs squeeze information through bottlenecks. We use curvature to find a network's backbones and lift them to hyperedges, so distant parts of a graph can talk.
What it changes in practice
A company's knowledge graph has bottlenecks too. Curvature tells us where answers get squashed before they reach the person who needs them.