Practice Adjacency Matrix (19.1.3) - Representing Graphs - Design & Analysis of Algorithms

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9 questions

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6 sample questions

Question 1.
What does the entry A[i][j] represent in an adjacency matrix?
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Remember the definition of adjacency matrix.
Question 2.
Is the adjacency matrix symmetric for undirected graphs? Why?
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Think about how the edges are defined.
3Question 3.
In an adjacency matrix, what does a value of 1 mean?
- There is no edge
- There is an edge
- The vertex is isolated
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Think about the purpose of the matrix.
4Question 4.
True or False: An adjacency matrix is always symmetric.
- True
- False
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Reflect on what it means for edges to connect vertices.
Question 5.
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.
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Visualize the connections between vertices to fill in the relevant edges.
Question 6.
Design an algorithm to find if a path exists between two vertices using the adjacency matrix representation. What steps would you include?
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Think about how breadth-first search would traverse neighbors in the matrix.

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