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2 cards from this section. Quick, good the night before a test.
What conditions must a degree sequence satisfy to be considered graphic?
Think about the properties of edges in a graph.
Is the sequence (3, 2, 2, 1) graphic? Justify your answer.
Try to visualize or sketch the connections based on the degree counts.
What is a graphic sequence?
Recall the definition of graphic sequences discussed.
True or False: The sum of the degrees in any simple graph must be odd.
Look back at the degree properties we analyzed.
Given a degree sequence of (4, 4, 4, 2, 2), prove its graphic nature or lack thereof using appropriate methods.
Visualize the connections as you apply the theorem methodically.
Create a counter-example to show why the sequence (3, 1, 1, 0) cannot be a graphic sequence.
Try to sketch the configuration or visualize vertex limits.
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