Practice Formal Algorithm Description - 26.1.7.2 | 26. Shortest Paths in Weighted Graphs | Design & Analysis of Algorithms - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a weighted graph?

💡 Hint: Think about graphs with varying edge costs.

Question 2

Easy

What does Dijkstra's Algorithm do?

💡 Hint: Recall the fire spreading analogy.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the primary objective of Dijkstra's Algorithm?

  • To find the longest path
  • To find the shortest path from a single source
  • To connect all vertices

💡 Hint: Focus on the term 'shortest path'.

Question 2

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

  • True
  • False

💡 Hint: Remember how weights work in the algorithm.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with vertices A, B, C, and D, and edges with weights between them, find the shortest path from A to D using Dijkstra's algorithm.

💡 Hint: Don't forget to update the neighbors' costs after visiting a vertex.

Question 2

Explain why Dijkstra's algorithm fails with negatively weighted edges, and provide an example.

💡 Hint: Consider paths that could 'get shorter' after visiting them.

Challenge and get performance evaluation