Practice Complexity Analysis - 5.5 | 5. Kruskal's Algorithm | Design & Analysis of Algorithms - Vol 2
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Complexity Analysis

5.5 - Complexity Analysis

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.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is Kruskal's algorithm used for?

💡 Hint: Think about trees and how they connect vertices.

Question 2 Easy

Why is it essential to avoid cycles in a spanning tree?

💡 Hint: Consider the definition of a tree.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the first step in Kruskal's algorithm?

Sort the edges
Pick the largest edge
Count the vertices

💡 Hint: Recall the order of operations in the algorithm.

Question 2

True or False: Kruskal's algorithm can create cycles between paths in a graph.

True
False

💡 Hint: Remember the properties of a tree.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with specific edge weight values, illustrate how you would implement Kruskal's algorithm step by step, providing the final minimum spanning tree.

💡 Hint: Sketch the graph and work through each edge systematically.

Challenge 2 Hard

Explore how varying the weights of certain edges affects the final spanning tree result within Kruskal’s algorithm framework.

💡 Hint: What occurs if you make a high-weight edge low and vice versa?

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.