Practice - Legal Coloring of Graphs
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Practice Questions
Test your understanding with targeted questions
What is a graph?
💡 Hint: Think about how points and connections relate.
What must be true for two adjacent vertices in a colored graph?
💡 Hint: Consider the purpose of distinguishing points.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main goal of graph coloring?
💡 Hint: Think about the purpose of making distinctions between adjacent regions.
True or False: The four color theorem states that at least four colors are needed for any planar map.
💡 Hint: Revisit what the theorem's assertion is regarding color necessity.
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Challenge Problems
Push your limits with advanced challenges
Create a graph of a fictional country with at least 10 states, ensuring no two neighboring states share the same color. Present your graph and explain your coloring strategy.
💡 Hint: Start by mapping out the connections before coloring.
Examine a complex map that uses more than four colors. Discuss how the four color theorem applies despite the use of additional colors for effective distinctions.
💡 Hint: Think about artistic intent versus mathematical requirements.
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Reference links
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