2.1 - Problem Motivation
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: Look for the main properties of trees.
Why do we need to minimize costs in Minimum Cost Spanning Trees?
💡 Hint: Think about government budgets after disasters.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a Minimum Cost Spanning Tree?
💡 Hint: Recall the definition we discussed.
True or False: A spanning tree can have cycles.
💡 Hint: Think about the properties of trees.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Given a tree with six vertices connected with edges weighted as follows: A-B (10), A-C (15), B-D (5), B-E (10), and C-F (20). Calculate the minimum cost spanning tree.
💡 Hint: Start with the smallest weights but remember to maintain connectivity.
Design a spanning tree connecting five locations in a park with the following distances (weights): A-B (2), A-C (6), B-C (3), B-D (9), C-E (5). What's the least costly way to connect all?
💡 Hint: Work systematically from the lowest weights, ensuring no cycles.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.