Temporal Rich Club Coefficient
Track elite connectivity evolution over time
Measures how well-connected the "elite" nodes (high-degree) are to each other over time.
What It Computes
Coefficient (0 to 1) indicating if high-degree nodes preferentially connect to each other.
When to Use It
- Core group detection: Find tightly-knit elite clusters
- Network evolution: Track core formation over time
- Inequality analysis: Measure concentration of connections
Performance
Time: O(E log V)
Scales to: 10M edges
Example
Interpretation:
- >0.5: Strong rich club effect (elites connect)
- ~0: Random connectivity
- High k: Focus on very connected nodes
Use Cases
Social Networks
Core influencer groups
Financial Networks
Major institutions' interconnectedness
Scientific Collaboration
Elite researcher collaboration patterns