Practice Handling Negative Edges - 27.2.3 | 27. Mathematical Institute | 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 the primary function of Dijkstra's algorithm?

💡 Hint: Think about pathfinding in graphs.

Question 2

Easy

Define a burnt vertex.

💡 Hint: Consider this as a confirmed choice in optimization.

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 type of algorithm is Dijkstra's?

  • Dynamic Programming
  • Greedy
  • Divide and Conquer

💡 Hint: Remember the type of choices made in Dijkstra's strategy.

Question 2

True or False: Dijkstra’s algorithm can find shortest paths in graphs with negative cycles.

  • True
  • False

💡 Hint: Consider the definition of a shortest path in terms of weights.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You are given a graph with a negative cycle. Formulate how you would approach finding the shortest path from a source vertex to a destination vertex. Discuss the potential outcomes.

💡 Hint: Consider what happens in the presence of repeating paths.

Question 2

Construct a graph with negative edges and no negative cycle. Use the Bellman-Ford algorithm to determine the shortest paths and explain your findings.

💡 Hint: Reflect on how negative edges might still lead to a valid optimal path.

Challenge and get performance evaluation