Practice Graph Basics - 19.1.1 | 19. Representing Graphs | Design & Analysis of Algorithms - Vol 1
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Graph Basics

19.1.1 - Graph Basics

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a vertex in a graph?

💡 Hint: Think about what elements make up a graph.

Question 2 Easy

Define an undirected edge.

💡 Hint: Consider how you would represent a two-way street in a city.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does an adjacency matrix represent?

A 1D array
A list of neighbors
A 2D array of edges

💡 Hint: Think about how you visualize a grid.

Question 2

True or False: An undirected edge has a direction.

True
False

💡 Hint: Consider the meaning of undirected.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Construct a graph using an adjacency matrix for five vertices where vertex 1 is connected to vertices 2 and 3, vertex 2 to vertex 4, and vertex 3 to vertex 5. Show your work.

💡 Hint: Remember to mark both directions for undirected edges.

Challenge 2 Hard

Using breadth-first search, describe how you would traverse this constructed graph from vertex 1 to determine all reachable vertices.

💡 Hint: Remember to keep track of the visited vertices and the order you explore.

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Reference links

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