Practice Week 4: Advanced Graph Algorithms - 1.6.4 | 1. Design and Analysis of Algorithms | Design & Analysis of Algorithms - Vol 1
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Week 4: Advanced Graph Algorithms

1.6.4 - Week 4: Advanced Graph Algorithms

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is an adjacency list?

💡 Hint: Think about how you can list the neighbors of a vertex.

Question 2 Easy

What does a minimum spanning tree do?

💡 Hint: Consider why this would be useful in networking.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of Dijkstra's algorithm using a priority queue?

O(V^2)
O(E + V log V)
O(E log V)

💡 Hint: Remember that E is for edges and V is for vertices.

Question 2

Kruskal’s algorithm can work with graphs that have negative weight edges.

True
False

💡 Hint: Consider how the algorithm functions.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with 6 vertices and 7 weighted edges, implement Dijkstra’s algorithm in code, and analyze the results.

💡 Hint: Look carefully at how edges are added and distances updated.

Challenge 2 Hard

Design a randomized graph with varying edge weights and demonstrate the behavior of both Prim’s and Kruskal's algorithms on it. Compare their output.

💡 Hint: Reflect on the edges added and cycles formed.

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