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3 cards from this section. Quick, good the night before a test.
What is the degree of a vertex?
Think of how many friends a person has in a social network.
Does a vertex degree can be negative?
Try to visualize it with real-life objects.
What does the degree of a vertex represent?
Visualize how many paths lead to this vertex.
True or False: The sum of degrees in any graph must be odd.
Remember how edges link two vertices.
Evaluate whether the sequence [7, 6, 5, 4, 3, 2, 1] can be a degree sequence. Justify your answer using the Havel-Hakimi theorem.
Break down the highest number first!
Design a simple graph for the degree sequence [3, 3, 3, 3] and outline the possible arrangements.
Consider how each vertex connects with others.
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