2.5.1 - Prim's 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.
Practice Questions
Test your understanding with targeted questions
Define a spanning tree.
💡 Hint: Think about what makes a tree in graph theory.
What does the term 'acyclic' mean?
💡 Hint: Consider the meaning of the prefix 'a-' added to 'cyclic'.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the goal of Prim's Algorithm?
💡 Hint: Reflect on the definition of a spanning tree.
True or False: A spanning tree can have cycles.
💡 Hint: Remember the acyclic property of trees.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Consider the following graph with vertices A, B, C, D, and edges connecting them with weights. Apply Prim's Algorithm to find the Minimum Cost Spanning Tree and illustrate the choices made at each step.
💡 Hint: Keep track of the already connected vertices to avoid cycles.
If you have a densely connected graph where many edges have the same minimum weight, how does this affect Prim's Algorithm?
💡 Hint: Consider how the algorithm's flexibility can still maintain the properties of a minimum spanning tree.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.