Practice Mathematical Fact About Graph Coloring (18.2.2) - Design and Analysis of Algorithms
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Mathematical Fact about Graph Coloring

Practice - Mathematical Fact about Graph Coloring

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What do we call the dots in a graph?

💡 Hint: Think of the states in a map.

Question 2 Easy

How many colors are guaranteed to be sufficient according to the Four Color Theorem?

💡 Hint: Can you name the theorem?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What do we call the connection between two vertices in a graph?

Node
Edge
Vertex

💡 Hint: Consider what links the nodes together.

Question 2

The Four Color Theorem states that four colors are necessary for graph coloring.

True
False

💡 Hint: Remember the Four Color Theorem!

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Invent a new method for coloring a map with variable color constraints. How can you ensure optimization?

💡 Hint: Think about graph traversal methods.

Challenge 2 Hard

Create a planar graph with a unique coloring solution using only three colors. Explain your graph choice.

💡 Hint: Visualize the connections and overlaps.

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Reference links

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