Practice Graphs and Graph Algorithms - 1.5.3 | 1. Welcome to the NPTEL MOOC on Design and Analysis of Algorithms | 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.

1.5.3 - Graphs and Graph Algorithms

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

Define a graph in your own words.

💡 Hint: Think about how you would represent relationships.

Question 2

Easy

What are the two main representations of graphs?

💡 Hint: Consider how data structures could be used.

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 do the edges in a graph represent?

  • Connections between vertices
  • Isolated nodes
  • Only directed pathways

💡 Hint: Think about what links the vertices.

Question 2

A connected graph has at least one path between all pairs of vertices.

  • True
  • False

💡 Hint: Recall the definition of connectedness.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a scenario where three cities are interconnected with direct roads, devise a graph and demonstrate your understanding of reachability and connectedness.

💡 Hint: Draw the graph and look for paths between nodes.

Question 2

Construct a DAG to represent prerequisite courses in a degree program. What implications does the lack of cycles have in scheduling courses?

💡 Hint: Map out your courses and their prerequisites.

Challenge and get performance evaluation