Practice Big Hammers in Algorithms - 11.1.2 | 11. Reductions | Design & Analysis of Algorithms - Vol 3
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11.1.2 - Big Hammers in Algorithms

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a bipartite graph?

💡 Hint: Think about how teachers and courses can connect.

Question 2

Easy

What does the term 'matching' refer to in the context of bipartite graphs?

💡 Hint: Consider the connection between teachers and subjects.

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 is bipartite matching?

  • A matching that includes any network structure.
  • A special allocation where connections only exist between two distinct sets.
  • A random assignment of courses to any teacher.

💡 Hint: Consider how teachers and courses are organized.

Question 2

True or False: In a bipartite matching, a teacher can teach multiple courses.

  • True
  • False

💡 Hint: Think about the constraints of the matching problem.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a set of 5 teachers and only 4 courses, devise a method to allocate courses while ensuring no teacher teaches more than one course and explain your reasoning.

💡 Hint: Use the concept of capacities to frame your solution.

Question 2

If a specific teacher wishes to teach two courses and refuses to pick, how would this affect your bipartite graph and flow algorithm?

💡 Hint: Consider how stubborn choices can limit overall network flow.

Challenge and get performance evaluation