Practice Minimum Cost Spanning Trees - 2 | 2. Minimum Cost Spanning Trees | Design & Analysis of Algorithms - Vol 2
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Minimum Cost Spanning Trees

2 - Minimum Cost Spanning Trees

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a spanning tree?

💡 Hint: Think about the properties of trees.

Question 2 Easy

What does MCST stand for?

💡 Hint: Consider what the objective of the spanning tree is.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Minimum Cost Spanning Tree (MCST) refer to?

A tree with the largest weight
A tree that costs the least to connect all vertices
A tree with no nodes

💡 Hint: Think about the objective of spanning trees.

Question 2

True or False: Prim's Algorithm starts from the smallest weight edge and builds the tree incrementally.

True
False

💡 Hint: Consider the methodology used by each algorithm.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with specified vertices and weighted edges, calculate both Prim's and Kruskal's Minimum Cost Spanning Trees and compare the results.

💡 Hint: Focus on the ways each algorithm approaches edge selection.

Challenge 2 Hard

Create a graph that contains several cycles and explain how Prim's and Kruskal's algorithms would handle it during the construction of the MCST.

💡 Hint: Consider the properties of cycles in the context of spanning trees.

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Reference links

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