Who is the most important person in the network? The answer depends on what you mean — the most connected, the best-positioned bridge, or the closest to everyone.
Network CentralityLive
who matters most
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Centrality measures which nodes are most important in a network. Degree counts direct connections; betweenness counts how often a node lies on shortest paths (a bridge or broker); closeness measures how near a node is to all others. Switching metrics changes who matters — a key insight for social networks, infrastructure, and epidemiology.
Reading this result: By betweenness, node D is the key broker: it sits on the most shortest paths, so removing it would fracture the network even if it has few direct links.
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How it works
Centrality quantifies node importance in different ways. Degree centrality counts direct links; betweenness counts how often a node sits on shortest paths, marking brokers and bottlenecks; closeness measures how quickly a node can reach the whole network. Switching metrics can crown entirely different nodes — crucial for social-network analysis, epidemiology, and infrastructure resilience.
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The math, the assumptions, real-world uses, or a code translation — explained for this exact simulation.
Is this network centrality betweenness tool really free?▾
Yes. Network Centrality runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?▾
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
Can I save or share my simulation?▾
Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?▾
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.