Practice Types of Shortest Path Problems - 26.1.5 | 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 how real-world costs can be represented on a graph.

Question 2

Easy

Describe a real-world example of a single-source shortest path problem.

💡 Hint: Consider transportation logistics.

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 constitutes a weighted graph?

  • A graph with vertices only
  • A graph with edges having costs
  • A graph with no edges

💡 Hint: Consider how graph structures represent different factors.

Question 2

True or False: The all-pairs shortest path problem finds paths only from one vertex.

  • True
  • False

💡 Hint: Recall the definitions we discussed.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a logistical problem using a weighted graph and apply Dijkstra's algorithm to determine the most efficient route from a factory to multiple delivery points.

💡 Hint: Map out your graph clearly! Focus on the starting point.

Question 2

Critically evaluate how variations in edge weights (for example, introducing negative weights) could affect Dijkstra's algorithm's performance.

💡 Hint: Reflect on what happens with negative costs.

Challenge and get performance evaluation