Practice Prof. Madhavan Mukund - 27.1.2 | 27. Mathematical Institute | Design & Analysis of Algorithms - Vol 1
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Prof. Madhavan Mukund

27.1.2 - Prof. Madhavan Mukund

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the main goal of Dijkstra's algorithm?

💡 Hint: Think about the term 'shortest path'.

Question 2 Easy

Define a burnt vertex in the context of Dijkstra's algorithm.

💡 Hint: What happens to the distance of burnt vertices?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Dijkstra's algorithm aim to achieve?

Find the shortest path from a single source
Find the longest path
Sort vertices

💡 Hint: Focus on the part about the 'shortest path'.

Question 2

True or False: Dijkstra's algorithm can handle graphs with negative weights.

True
False

💡 Hint: Recall what we discussed about negative weights.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a graph with vertices and edges that have both positive and negative weights, describe how Dijkstra's algorithm would handle this, and what issues might arise.

💡 Hint: Reflect on the definitions and properties of negative weights.

Challenge 2 Hard

Design a modified version of Dijkstra's algorithm to account for negative weights and leverage efficient graph traversing. Explain your solution.

💡 Hint: Recall the properties and functionalities of other pathfinding algorithms.

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