Practice Algorithm Strategies (19.1.5) - Representing Graphs - Design & Analysis of Algorithms

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8 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define a vertex in a graph.
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Think of the graph as a collection of points.
Question 2.
What does an undirected edge represent?
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Consider how you'd connect cities in a map.
3Question 3.
What does an adjacency matrix represent?
- A list of edges
- A 2D array of vertex connections
- A tree structure
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It is a structured way of showing connections.
4Question 4.
True or False: BFS explores as deep as possible before backtracking.
- True
- False
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Think about level versus depth.
Question 5.
Given a graph represented by an adjacency matrix, write a function to determine if there is a path between two vertices.
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Focus on exploring each edge systematically.
Question 6.
Design an efficient algorithm using an adjacency list to find all connected components in an undirected graph.
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Each time you start a new DFS/BFS from an unvisited vertex, you've found a new component!

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