10.5 - Ford-Fulkerson Algorithm
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Practice Questions
Test your understanding with targeted questions
Define a flow network.
💡 Hint: Think about the flow and paths in a directed graph.
What does the residual graph represent?
💡 Hint: Consider it as the remaining capacity after flow is processed.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a flow network?
💡 Hint: Think about the direction of the flow.
True or False: Flow conservation means that inflow equals outflow at every node.
💡 Hint: Consider an intermediate node’s behavior.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a directed graph with capacities: S-A (10), A-B (5), B-T (10), S-C (15), C-B (5), C-T (10), calculate the maximum flow using the Ford-Fulkerson algorithm. Detail each augmenting path.
💡 Hint: Identify all possible augmenting paths step-wise.
A flow network has nodes: S, A, B, and T with C(S,A)=8, C(S,B)=10, C(A,T)=5, C(B,T)=5. Determine the maximum flow and explain why certain paths are chosen.
💡 Hint: Think about the paths that maximize capacity usage.
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