Network Flows 2 (AQA A-Level Further Maths): Flashcards

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Network Flows 2
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Source in network flow

Starting point where commodity flows from, labelled SS

Sink in network flow

Ending point where commodity flows to, labelled TT

Saturated arc

Arc where flow equals its capacity

Max flow, min cut theorem

Maximum flow equals capacity of minimum cut

Potential flow formula

Capacity − current flow

Potential backflow

Current flow (amount flow can be decreased)

Flow-augmenting path

Route from SS to TT where all forward arrows are non-zero

Cut capacity with min capacities

(max from SS to TT) − (min from TT to SS)

Supersource

Dummy source node for networks with multiple sources

Node capacity restriction method

Split node in two, connect with arc of capacity equal to limit

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