Practice Department of Computer Science and Engineering - 27.1.3 | 27. Mathematical Institute | Design & Analysis of Algorithms - Vol 1
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Department of Computer Science and Engineering

27.1.3 - Department of Computer Science and Engineering

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does Dijkstra's algorithm accomplish?

💡 Hint: Think about applications like navigation.

Question 2 Easy

What is initialized to infinity in Dijkstra's algorithm?

💡 Hint: Consider the starting point's significance.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What technique does Dijkstra's algorithm use to determine the shortest path?

Dynamic Programming
Greedy Strategy
Brute Force

💡 Hint: Think about how Dijkstra prioritizes its choices.

Question 2

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

True
False

💡 Hint: Consider why the local choices might fail.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with both positive and negative weights but no negative cycles, apply Dijkstra's algorithm and explain the steps taken.

💡 Hint: Remember to keep track of updates on distances based on the edges from the burnt vertices.

Challenge 2 Hard

Critique the utility of Dijkstra’s algorithm in real-world applications that involve routes with varied constraints such as tolls (negative weights).

💡 Hint: Consider examples where negative weights could change the optimal path drastically.

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Reference links

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