Graphs and Networks 1 (AQA A-Level Further Maths): Flashcards
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Capacity in a capacitated network
Capacity in a capacitated network
Maximum possible flow along an arc
Source node (S)
Source node (S)
Node where flow enters; all arcs directed away from it
Sink node (T)
Sink node (T)
Node where flow exits; all arcs directed towards it
Feasibility condition
Feasibility condition
Flow in an arc capacity
Conservation condition
Conservation condition
At intermediate nodes: total inflow = total outflow
Value of the flow
Value of the flow
Total outflow from S = total inflow to T
Saturated arc
Saturated arc
Arc where flow = capacity (at full capacity)
Unsaturated arc
Unsaturated arc
Arc where flow < capacity (has spare capacity)
Cut in a network
Cut in a network
Set of arcs separating S and T when removed
Maximum flow-minimum cut theorem
Maximum flow-minimum cut theorem
Max flow value = min cut capacity
