Practice Shortest Paths in Weighted Graphs - 26.1 | 26. Shortest Paths in Weighted Graphs | Design & Analysis of Algorithms - Vol 1
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26.1 - Shortest Paths in Weighted Graphs

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a weighted graph?

💡 Hint: Think about how costs can affect paths.

Question 2

Easy

What does Dijkstra's Algorithm find?

💡 Hint: It’s named after the person who proposed it.

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 the purpose of a weight function in a weighted graph?

  • To connect vertices
  • To assign costs to edges
  • To perform graph traversal

💡 Hint: Focus on what makes weighted graphs distinct from unweighted graphs.

Question 2

Dijkstra's Algorithm can only be used with which type of weights?

  • True
  • False

💡 Hint: Consider what happens if a path can decrease in cost.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a weighted graph with vertices A, B, C, and D, create an edge weight table and utilize Dijkstra's algorithm to find the shortest path from A to all other vertices. What paths will you end up with?

💡 Hint: Start with distances set to infinity, except for the starting vertex.

Question 2

In a scenario where some edge weights can change dynamically, discuss how you might adapt Dijkstra's algorithm for efficient re-computation. What strategies would you use?

💡 Hint: What would be the trade-off between recalculating paths versus maintaining existing paths?

Challenge and get performance evaluation