Practice Describing the Burning Process - 26.1.7.1 | 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 what costs might represent in an application.

Question 2

Easy

What does edge cost represent?

💡 Hint: Consider what expense could be related to transport.

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 a weighted graph include?

  • Only edges
  • Edges with costs
  • Vertices only

💡 Hint: Think about graphs used in transportation.

Question 2

True or False: A shortest path always has the fewest edges.

  • True
  • False

💡 Hint: Reflect on the burning analogy.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a graph with vertices A, B, C, and D connected by edges with the following weights: A-B: 4, A-C: 2, C-B: 5, B-D: 1. Calculate the shortest path from A to D using Dijkstra's algorithm.

💡 Hint: Keep track of the lowest costs as you move through unvisited vertices.

Question 2

You have a weighted graph where some edges are negative. What will happen when applying Dijkstra's Algorithm, and what alternative would you consider?

💡 Hint: Review the properties of the algorithms for different contexts.

Challenge and get performance evaluation