For Students · Maximum Flow
Maximum Flow for a race strategy
Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a race strategy live below — adjust the inputs and watch it respond, right in your browser.
Maximum FlowLive
Edmonds-Karp network flow
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.
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.
Also for:ResearchersEducatorsEngineersHobbyists & MakersK-12 StudentsFirst RespondersGeneral version →
More with Maximum Flow
Frequently asked questions
- Is this good for students?
- Yes — this version of "Maximum Flow for a race strategy" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.