Practice Adjacency Matrix - 19.1.3 | 19. Representing Graphs | Design & Analysis of Algorithms - Vol 1
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19.1.3 - Adjacency Matrix

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the entry A[i][j] represent in an adjacency matrix?

💡 Hint: Remember the definition of adjacency matrix.

Question 2

Easy

Is the adjacency matrix symmetric for undirected graphs? Why?

💡 Hint: Think about how the edges are defined.

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

In an adjacency matrix, what does a value of 1 mean?

  • There is no edge
  • There is an edge
  • The vertex is isolated

💡 Hint: Think about the purpose of the matrix.

Question 2

True or False: An adjacency matrix is always symmetric.

  • True
  • False

💡 Hint: Reflect on what it means for edges to connect vertices.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have 8 vertices in a graph and 6 edges connecting them. Describe how you would create an adjacency matrix and what values you expect.

💡 Hint: Visualize the connections between vertices to fill in the relevant edges.

Question 2

Design an algorithm to find if a path exists between two vertices using the adjacency matrix representation. What steps would you include?

💡 Hint: Think about how breadth-first search would traverse neighbors in the matrix.

Challenge and get performance evaluation