Practice Total Cost Calculation - 26.1.4 | 26. Shortest Paths in Weighted Graphs | Design & Analysis of Algorithms - Vol 1
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a weighted graph.

💡 Hint: Refer to the document where the term 'weighted graphs' is defined.

Question 2

Easy

What does the term 'cost' refer to in the context of graphs?

💡 Hint: Think about real-life scenarios like travel 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 defines a weighted graph?

  • Edges have costs
  • All edges are equal
  • Vertices are connected

💡 Hint: Think of real-world applications like transportation.

Question 2

Dijkstra's algorithm is used for what purpose?

  • True
  • False

💡 Hint: Remember its application in real-world scenarios.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a weighted graph with specific edges and weights, apply Dijkstra's algorithm to determine the shortest path from vertex A to vertex D. Show each step of your calculations.

💡 Hint: Be meticulous with edge weights during updates.

Question 2

Create a scenario in which a decision must be made between a path with many edges and a path with higher costs but fewer edges. Justify your conclusion.

💡 Hint: Consider tolls vs. free roads in transportation.

Challenge and get performance evaluation