12.7 - Reduction Between Problems
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.
Practice Questions
Test your understanding with targeted questions
What is the difference between generating and checking algorithms?
💡 Hint: Think about what you do when you receive an answer to a problem.
Can you give an example of a problem that can be checked but not easily generated?
💡 Hint: Recall the definition of SAT and its verification process.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What distinguishes a generating algorithm from a checking algorithm?
💡 Hint: Recall the definitions discussed in class.
True or False: The Boolean Satisfiability problem can be generated efficiently.
💡 Hint: Think of the complexity of SAT when generating solutions.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Design a checking algorithm for the Traveling Salesman Problem that utilizes binary search in conjunction with a distance bound.
💡 Hint: Consider using approximations before refining your search with binary search.
Using the concept of reduction, show how you can demonstrate that finding a maximum independent set is at least as hard as solving the vertex cover problem.
💡 Hint: Explore the relationships between nodes and edges in both problems.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.