Practice - Introduction to Bipartite Graphs and Matching
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 defines a bipartite graph?
💡 Hint: Think about how subsets are structured.
What is a matching in graph theory?
💡 Hint: Consider the relationships between nodes.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a bipartite graph?
💡 Hint: Recall the definition of bipartite.
True or False: A maximum matching can have less edges than a maximal matching.
💡 Hint: Consider the meanings of maximal vs maximum.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a bipartite graph with specific employees and their skills, determine if a complete matching exists and justify your answer using Hall's Theorem.
💡 Hint: Work through subsets systematically.
Create a scenario involving 5 tasks and 3 employees, provide a bipartite graph, and manually demonstrate whether a complete matching can be achieved.
💡 Hint: Look at overlapping skills closely!
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.