Network Science

Scale-Free Network

A network whose degree distribution follows a power law, meaning a few nodes (hubs) have many connections while most nodes have few. The same pattern appears at any scale of observation.

Used in the Books

This term appears in 1 chapter:

Biological Context

The internet, social networks, metabolic networks, and protein interaction networks are approximately scale-free. This structure emerges from preferential attachment (new nodes connect preferentially to well-connected nodes). Scale-free networks are robust to random failures but vulnerable to targeted attacks on hubs.

Business Application

Most business networks are scale-free: a few key players dominate connection counts. Understanding this structure reveals vulnerabilities (hub removal) and opportunities (become a hub).

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