Practice Design and Analysis of Algorithms - 5.1 | 5. Kruskal's Algorithm | Design & Analysis of Algorithms - Vol 2
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Design and Analysis of Algorithms

5.1 - Design and Analysis of Algorithms

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is Kruskal’s algorithm used for?

💡 Hint: Think about connecting points with the least cost.

Question 2 Easy

What is the first step in Kruskal’s algorithm?

💡 Hint: Remember the importance of edge weight.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary purpose of Kruskal's algorithm?

To find the shortest path in a graph
To find the minimum spanning tree of a graph
To sort the vertices of a graph

💡 Hint: Think about the tree that connects all points with the least cost.

Question 2

True or False: Prim's algorithm and Kruskal's algorithm can be used interchangeably.

True
False

💡 Hint: Consider how each algorithm builds its solution.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with vertices A, B, C, and D and edges with weights AB: 1, AC: 4, BD: 3, CD: 2, demonstrate the application of Kruskal's algorithm step by step.

💡 Hint: Visualize each step, keeping an eye on what edges you can add.

Challenge 2 Hard

Consider a scenario where an edge in Kruskal's algorithm with the lowest weight forms a cycle. How would the algorithm proceed?

💡 Hint: Think about the conditions necessary for an edge to be part of the tree.

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