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

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

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 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.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation