3.1 - Introduction to the Problem Domain
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 a spanning tree?
💡 Hint: Think about how trees connect branches without forming loops.
How many edges does a spanning tree have?
💡 Hint: Consider a scenario with three vertices.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does Prim's algorithm aim to find in a graph?
💡 Hint: Think about the trees in graph theory.
Prim's algorithm is a type of which algorithm?
💡 Hint: Recall the definitions of different algorithm types.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given a connected graph with vertices A, B, C, D, and edges with weights, determine the minimum spanning tree using Prim's algorithm. Provide a visual representation.
💡 Hint: List out edges by weight to start.
Prove that Prim's algorithm will always yield an optimal solution. Reference the minimum separator lemma in your proof.
💡 Hint: Explore the implications of making improper edge selections.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.