Practice Mathematical Fact About Graph Coloring (18.2.2)

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8 questions

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6 sample questions

Question 1.
What do we call the dots in a graph?
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Think of the states in a map.
Question 2.
How many colors are guaranteed to be sufficient according to the Four Color Theorem?
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Can you name the theorem?
3Question 3.
What do we call the connection between two vertices in a graph?
- Node
- Edge
- Vertex
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Consider what links the nodes together.
4Question 4.
The Four Color Theorem states that four colors are necessary for graph coloring.
- True
- False
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Remember the Four Color Theorem!
Question 5.
Invent a new method for coloring a map with variable color constraints. How can you ensure optimization?
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Think about graph traversal methods.
Question 6.
Create a planar graph with a unique coloring solution using only three colors. Explain your graph choice.
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Visualize the connections and overlaps.

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