Practice - Modeling Problems with Graphs
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Practice Questions
Test your understanding with targeted questions
What is a vertex in graph theory?
💡 Hint: Think of what a state or city might represent.
What is graph coloring used for?
💡 Hint: Consider how a map displays different regions.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What must be true in a graph coloring situation?
💡 Hint: Think about coloring a map.
True or False: In a directed graph, if there is an edge from A to B, there must also be an edge from B to A.
💡 Hint: Refer back to the airline situation.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a graph with 6 vertices where each vertex is connected to all others, how many colors are necessary to color the graph without adjacent vertices sharing colors?
💡 Hint: Consider the rules of graph coloring.
Design a directed graph representing flight paths between 5 cities. Discuss the complexity of finding a route from one city to another.
💡 Hint: Think about how you would travel from city A to city B.
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