Practice Complexity Analysis - 4.2 | 4. Dijkstra's Algorithm and Prim's Algorithm | Design & Analysis of Algorithms - Vol 2
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Complexity Analysis

4.2 - Complexity Analysis

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define Prim's Algorithm.

💡 Hint: Think about how it chooses edges.

Question 2 Easy

What is the time complexity with an adjacency matrix?

💡 Hint: What happens when you check each vertex?

3 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Prim's algorithm aim to achieve?

Find the shortest path
Generate a minimum spanning tree
Sort edges in a graph

💡 Hint: What kind of tree connects all vertices with minimal total weight?

Question 2

True or False: Dijkstra's and Prim's algorithms can be used interchangeably.

True
False

💡 Hint: Consider their main goals.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a connected graph, can you demonstrate how Prim’s algorithm would differ if edge weights were not unique?

💡 Hint: Think about scenarios with equal weight edges.

Challenge 2 Hard

How can you optimize Prim’s algorithm for a sparse graph?

💡 Hint: Which graph representation reduces checking time?

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