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3 cards from this section. Quick, good the night before a test.
What is a degree sequence?
Consider the connections each vertex has.
Can a sequence containing a negative degree be considered graphic?
Think about the practical meaning of degrees.
What condition must be met for a degree sequence to be graphic?
Think about the physical meaning of a vertex's connections.
Is the sequence [1, 2, 3] graphic?
Try sketching the connections.
Given the sequence [6, 5, 4, 4, 3, 2], analyze whether it is graphic using the Havel-Hakimi theorem.
Follow the steps carefully and visualize the adjustments in graph degrees.
Prove that the sequence [1, 1, 1, 1] is graphic. Provide a diagram or written explanation to support your answer.
Visuals help! Try sketching the connections between vertices.
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