Practice Adjacency List Representation - 19.1.6 | 19. Representing Graphs | Design & Analysis of Algorithms - Vol 1
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Adjacency List Representation

19.1.6 - Adjacency List Representation

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

Question 1 Easy

What does a vertex represent in a graph?

💡 Hint: Think about the dots in a graph.

Question 2 Easy

How does an adjacency matrix represent a graph?

💡 Hint: Remember the rows and columns represent vertices.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main advantage of an adjacency list?

Faster access to all vertices
Space-efficient for sparse graphs
Easy to implement

💡 Hint: Think about how many edges there are in a sparse graph.

Question 2

True or False: An adjacency matrix can easily represent the absence of edges.

True
False

💡 Hint: Consider what happens in a sparse graph.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a directed graph represented by an adjacency list. How many different edges can the graph contain if you have 'n' vertices? Provide a general formula and an example.

💡 Hint: Think about how many unique connections can exist.

Challenge 2 Hard

Given a sparse graph represented using an adjacency list, describe the impact on time complexity when attempting to find all neighbors of a node versus using a dense graph with an adjacency matrix.

💡 Hint: Consider how many edges relative to nodes influence the retrieval processes.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.