Practice Ford-Fulkerson Algorithm - 10.5 | 10. Network Flows | Design & Analysis of Algorithms - Vol 3
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

10.5 - Ford-Fulkerson Algorithm

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a flow network.

💡 Hint: Think about the flow and paths in a directed graph.

Question 2

Easy

What does the residual graph represent?

💡 Hint: Consider it as the remaining capacity after flow is processed.

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 defines a flow network?

  • A graph where all edges are bidirectional.
  • A directed graph with source and sink nodes.
  • A graph with no edges.

💡 Hint: Think about the direction of the flow.

Question 2

True or False: Flow conservation means that inflow equals outflow at every node.

  • True
  • False

💡 Hint: Consider an intermediate node’s behavior.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation