Practice - Abstract Representation of the Problem
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Practice Questions
Test your understanding with targeted questions
What is a vertex in graph theory?
💡 Hint: It's one of the main components of a graph.
Define an edge.
💡 Hint: Think of it as a line connecting two points.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary component of a graph?
💡 Hint: Think about the two main features of any graph.
True or False: The Four Color Theorem applies to three-dimensional graphs.
💡 Hint: Consider the dimensionality of the graphs described.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a graph with numerous interconnected cities, design a coloring scheme that minimizes colors while ensuring no two adjacent cities are the same color. Explain your reasoning.
💡 Hint: Visualize the graph and strategize.
In a school, each class can be represented as a vertex and subject overlaps as edges. If one class is assigned a color that another class can't share, how can you organize them efficiently?
💡 Hint: Create a visual representation to help with this problem.
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Reference links
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