Practice Formal Definition Of A Graph (18.2.5) - Design and Analysis of Algorithms
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Formal Definition of a Graph

Practice - Formal Definition of a Graph

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a vertex in the context of a graph.

💡 Hint: Think of it as a location in the graph.

Question 2 Easy

What is an edge?

💡 Hint: Consider how two points can be joined in a diagram.

3 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a graph?

A set of edges only
A set of vertices only
A set of vertices and edges

💡 Hint: Remember what makes up a graph.

Question 2

True or False: In a directed graph, all edges are bidirectional.

True
False

💡 Hint: Think about the directionality of relationships in graphs.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that any planar graph can be colored using no more than four colors.

💡 Hint: Review the Four Color Theorem.

Challenge 2 Hard

Describe how you would find the shortest path between two vertices in a directed graph.

💡 Hint: Think about algorithms you've learned that deal with pathfinding.

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