Practice All Pairs Shortest Path Problem - 26.1.5.2 | 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

Define a weighted graph and provide an example.

💡 Hint: Think about graphs with costs like distances or time.

Question 2

Easy

What is Dijkstra’s algorithm used for?

💡 Hint: Recall the scenarios discussed earlier in class.

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 does Dijkstra's algorithm help to compute?

  • Shortest path from one vertex to another
  • Shortest paths between all vertices
  • Total costs of all edges

💡 Hint: Focus on what the algorithm's intended function is.

Question 2

True or False: In a weighted graph, the path with the fewest edges is always the shortest.

  • True
  • False

💡 Hint: Recall examples discussed about how weights affect path selection.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You are tasked with optimizing delivery routes for a city with various weights for road segments. How would you approach this problem using Dijkstra's algorithm?

💡 Hint: Consider how weights affect the decisions made during each step of the algorithm.

Question 2

In a network of airports represented as a graph, each edge weight represents flight duration. How would you determine the fastest way to connect all airports using the All Pairs Shortest Path approach?

💡 Hint: Think about how you would handle cycles and costs in the graph structure.

Challenge and get performance evaluation