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

19.1.3 - Adjacency Matrix

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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