Practice Introduction to Weighted Graphs - 26.1.1 | 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 graphs with costs like distances or prices.

Question 2

Easy

What function assigns weights to edges in a graph?

💡 Hint: What do we call the function that gives meaning to edge costs?

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 no edges
  • A graph with edges having costs
  • A graph with only one vertex

💡 Hint: Think about graphs that are used in real-life situations.

Question 2

True or False: BFS can always find the shortest path in a weighted graph.

  • True
  • False

💡 Hint: Recall the limitations of BFS with regards to edge weights.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Model a simple graph with at least 5 vertices and varying edge weights, and apply Dijkstra’s algorithm. What would the shortest paths from a source vertex look like?

💡 Hint: Sketch the graph out and label the weights before starting the algorithm.

Question 2

Design a scenario where you compare single-source shortest paths to all pairs shortest paths in a real-world context. Discuss implications in decision-making.

💡 Hint: Think about how each situation might change based on the approach taken.

Challenge and get performance evaluation