Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For K-12 Students · Network Reliability

Network Reliability for a tax policy

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a tax policy live below — adjust the inputs and watch it respond, right in your browser.

Max Flow

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Maximum FlowLive

Edmonds-Karp network flow

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Presets

Capacity S→A

Capacity B→D

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.

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Data Inspector

Maximum flow18

Nodes6

Bottleneckmin cut

Governing equation

∣ f ∣ = v \sum f (s, v) = 18 = cut min c (S, T)

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).

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Centrality

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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.

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Data Inspector

Metricbetweenness

Most centralD

Nodes7

Governing equation

C_{B} (x) = s \neq = t \neq = x \sum \frac{σ _{s t} ( x )}{σ _{s t}}

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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Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Network Reliability for a tax policy" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.