Graph Coloring Basics
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•
Other
•
9th - 12th Grade
•
Hard
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10 questions
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1.
FLASHCARD QUESTION
Front
The four-color theorem's proof was significant because _________________________.
Back
it was the first proof that was computer aided
2.
FLASHCARD QUESTION
Front
Any planar map can be colored with $4$ or fewer colors.
Back
4
3.
FLASHCARD QUESTION
Front
Vertex coloring may require ______________ 4 colors.
Back
more than
4.
FLASHCARD QUESTION
Front
A _______________ of a graph colors vertices k colors so that adjacent vertices are different color.
Back
k-coloring
5.
FLASHCARD QUESTION
Front
The smallest number of colors needed to color a graph is called the ______________________.
Back
chromatic number
6.
FLASHCARD QUESTION
Front
A graph in which each vertex is connected to every other vertex a _______________________.
Back
complete graph
7.
FLASHCARD QUESTION
Front
In a complete graph, the chromatic number is ____________.
Back
the number of vertices
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