PPolySim OS
For Hobbyists & Makers · Network Reliability

Network Reliability for a subsidy

Built for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker. Simulate a subsidy live below — adjust the inputs and watch it respond, right in your browser.

Maximum FlowLive

Controls

Presets

The max-flow problem asks how much can be pushed from a source to a sink through a network of capacity-limited edges. Edmonds-Karp repeatedly finds an augmenting path and saturates it until none remain. By the max-flow min-cut theorem, the answer equals the capacity of the cheapest set of edges that, if cut, disconnects source from sink — the bottleneck.

▶ Run in Python

Data Inspector

Maximum flow18
Nodes6
Bottleneckmin cut

Governing equation

Reading this result: Both feed edges are generous, so the bottleneck has moved to the fixed interior capacities — adding more feed capacity no longer raises the max flow (min-cut theorem).

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

Network CentralityLive

Controls

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.

▶ Run in Python

Data Inspector

Metricbetweenness
Most centralD
Nodes7

Governing equation

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.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Frequently asked questions

Is this good for hobbyists & makers?
Yes — this version of "Network Reliability for a subsidy" is framed for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.