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4 cards from this section. Quick, good the night before a test.
Define a graphic sequence.
Think about what degree means in a graph.
What is the Havel-Hakimi theorem used for?
Recall how we prove sequences are graphic.
What is the required edge chromatic number for a complete graph when n is odd?
Recall the relationship between edge chromatic numbers and vertex count.
True or False: The Havel-Hakimi theorem can be applied to determine graphic sequences.
Consider the purpose of the theorem.
Given the sequence [5, 5, 4, 4, 3, 3, 2, 1], prove if it is graphic and present a construction.
Follow the theorem's steps for reducing the sequence.
Calculate the minimum number of colors required for a complete graph of 11 vertices and explain your reasoning.
Think about how odd numbers affect coloring.
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