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4 cards from this section. Quick, good the night before a test.
What is a residual graph?
Think about what happens to capacities after some flow has been sent.
What principle governs flow at intermediate nodes?
Consider nodes as junctions where flow enters and exits.
What does a residual graph in network flow represent?
Think about capacity adjustments.
True or False: The flow into an intermediate node can be greater than the flow out.
Refer to the flow conservation principle.
Consider a directed graph with nodes A, B, C, and D. The following edges exist: A to B (capacity 5), A to C (capacity 10), B to C (capacity 15), and C to D (capacity 10). Define the residual graph after a flow of 8 from A to D. Calculate remaining capacities for each edge.
Make sure to visualize the flow and adjustments.
Using a real-world scenario of a delivery service with specified routes and capacities, design a model that applies the Ford-Fulkerson algorithm to identify the best path with maximum flow from supply to delivery point. Demonstrate how you would adjust the residual graph after each iteration.
Focus on creating a visual representation of how capacities change.
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