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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a residual graph?
💡 Hint: Think about what happens to capacities after some flow has been sent.
Question 2
Easy
What principle governs flow at intermediate nodes?
💡 Hint: Consider nodes as junctions where flow enters and exits.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does a residual graph in network flow represent?
- Available edges for flow
- Time complexity of the flow calculation
- Remaining capacities and reverse paths
💡 Hint: Think about capacity adjustments.
Question 2
True or False: The flow into an intermediate node can be greater than the flow out.
- True
- False
💡 Hint: Refer to the flow conservation principle.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
💡 Hint: Make sure to visualize the flow and adjustments.
Question 2
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.
💡 Hint: Focus on creating a visual representation of how capacities change.
Challenge and get performance evaluation