Practice Dijkstra’s Algorithm for Single Source Shortest Path Problem - 27.2 | 27. Mathematical Institute | Design & Analysis of Algorithms - Vol 1
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Dijkstra’s Algorithm for Single Source Shortest Path Problem

27.2 - Dijkstra’s Algorithm for Single Source Shortest Path Problem

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does Dijkstra's algorithm calculate?

💡 Hint: Think about path lengths in a graph.

Question 2 Easy

What is the initial distance set for the source vertex?

💡 Hint: It's the starting point for distance calculations.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of Dijkstra's algorithm using an adjacency list?

O(n^2)
O(n + m log n)
O(log n)

💡 Hint: Think about how many operations are involved in finding the minimum.

Question 2

True or False: Dijkstra's algorithm works for graphs with negative edge weights.

True
False

💡 Hint: Consider the implications of negative costs on path calculations.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider the following graph represented as an adjacency matrix. Calculate the shortest path from vertex A to all other vertices. Ensure to handle the vertices in a range of distances correctly.

💡 Hint: Apply the algorithm step-by-step and confirm the distances.

Challenge 2 Hard

If you found a negative cycle in a graph, how would it impact your approach? Can Dijkstra's algorithm be adjusted to handle it?

💡 Hint: Think about the principles behind Dijkstra's greedy strategy.

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Reference links

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