Practice Characteristics of Shortest Paths - 1.2 | 1. All-pairs Shortest Paths | Design & Analysis of Algorithms - Vol 2
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.

Typing
Memory
Math
English Adventures
Knowledge

1.2 - Characteristics of Shortest Paths

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What characterizes the paths in a weighted graph?

💡 Hint: Think about how weights can change the journey.

Question 2

Easy

What happens to the shortest path if there is a negative cycle in the graph?

💡 Hint: Consider how negative weights might play into the path calculation.

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 main goal of the Floyd-Warshall algorithm?

  • To find longest paths
  • To find shortest paths between all pairs of vertices
  • To detect cycles

💡 Hint: Think about what the algorithm calculates across all vertices.

Question 2

True or False: The Bellman-Ford algorithm can handle negative weights.

  • True
  • False

💡 Hint: Consider how each of these algorithms is affected by negative weights.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with vertices A, B, C, and D with edge weights defined as follows: A-B (4), A-C (1), B-D (1), C-D (2), calculate the shortest path length using the Floyd-Warshall algorithm.

💡 Hint: Draw out the matrix and visualize the longest paths in each step for clarification.

Question 2

Explain in detail how the algorithm adapts when it finds a negative edge weight, specifically in implementation.

💡 Hint: Reflect on how the algorithm’s rules enforce checks for conditions in path optimizations.

Challenge and get performance evaluation