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2 cards from this section. Quick, good the night before a test.
What is a degree sequence?
Think about how degrees correspond to edges.
Can a sequence with negative values be a graphic sequence?
Recall the definition of graphic sequences.
What is a degree sequence?
Remember it relates to how many edges connect to a vertex.
Is (6,5,4,3,2,1) a graphic sequence?
Check the sum of the degrees.
Given a sequence (0,3,2,2,3), determine if it is graphic and explain your reasoning.
Check if a vertex can connect with others based on given degrees.
Use the Havel-Hakimi theorem on (5,4,4,3,1) and discuss the process, including every reduction step.
Follow the theorem's process closely.
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