Practice Update Performance Improvement with Heap - 4.2.1 | 4. Dijkstra's Algorithm and Prim'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

Update Performance Improvement with Heap

4.2.1 - Update Performance Improvement with Heap

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 does Prim's Algorithm aim to find in a weighted graph?

💡 Hint: Think about what type of tree minimizes costs or distances.

Question 2 Easy

How does Prim's algorithm compare to Dijkstra's in terms of approach?

💡 Hint: Consider how distance is managed in both algorithms.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is Prim's Algorithm primarily used for?

Finding shortest paths
Constructing minimum spanning trees
Sorting data

💡 Hint: Remember its purpose in graph theory.

Question 2

Is the time complexity of Prim's algorithm improved with a heap?

True
False

💡 Hint: Think about how data structures can enhance algorithm efficiency.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a weighted graph with at least 6 vertices and apply Prim's algorithm. Explain each step clearly, including the edges chosen and the reasons for the choices.

💡 Hint: Keep track of edge weights as you go.

Challenge 2 Hard

Propose a method to deal with multiple edges of the same weight when implementing Prim's algorithm.

💡 Hint: How can you maintain consistent edge priorities?

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.