Practice Dijkstra's Algorithm - 26.1.8 | 26. Shortest Paths in Weighted Graphs | Design & Analysis of Algorithms - Vol 1
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Knowledge

26.1.8 - Dijkstra's Algorithm

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a weighted graph?

💡 Hint: Think about what each edge in the graph represents.

Question 2

Easy

What is the purpose of Dijkstra's Algorithm?

💡 Hint: Consider what problems it might solve in real life.

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 main goal of Dijkstra's Algorithm?

  • To find the longest path
  • To find the shortest path in a weighted graph
  • To visit every vertex

💡 Hint: Think about what the 'shortest path' means in terms of weights.

Question 2

True or False: Dijkstra’s Algorithm can find the shortest paths in both weighted and unweighted graphs.

  • True
  • False

💡 Hint: Consider how edge weights affect path calculations.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with vertices A, B, C, D, and E with specified edge weights, illustrate step-by-step how Dijkstra's Algorithm would find the shortest path from A to all other nodes.

💡 Hint: Use the burn analogy to visualize the process.

Question 2

Analyze a real-world logistics problem where Dijkstra's Algorithm could be applied. Describe the graph, the vertices, and edge weights, then compute the shortest path from the main warehouse to various retail stores.

💡 Hint: Consider practical constraints like delivery times or traffic conditions.

Challenge and get performance evaluation