Practice Cost of Edges in Graphs - 26.1.3 | 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.

💡 Hint: Think about if there's a cost to travel along the edges.

Question 2

Easy

What is the purpose of Dijkstra's algorithm?

💡 Hint: Recall which algorithm is best for non-negative weights.

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 a weighted graph?

  • A graph with equal edges
  • A graph with edges having costs
  • A graph without edges

💡 Hint: Think about costs associated with travel.

Question 2

Does Dijkstra’s algorithm work with negative weights?

  • True
  • False

💡 Hint: Remember what we've discussed about algorithms.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Imagine you are the logistics manager of a company. You need to create a cost-effective route to deliver items to five locations using Dijkstra’s algorithm. Draw the graph and calculate the shortest path.

💡 Hint: Start at one of the locations and continually update the cost to reach other locations.

Question 2

Given a weighted graph with negative edge weights, demonstrate how the Bellman-Ford algorithm functions and computes shortest paths. Include a visual representation.

💡 Hint: Remember, this algorithm involves systematically relaxing edges multiple times.

Challenge and get performance evaluation