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3 cards from this section. Quick, good the night before a test.
Define vertex connectivity in your own words.
Think about how you would break apart a graph.
What is edge connectivity?
Consider what you would cut to separate a graph into parts.
What is the relationship between vertex connectivity and edge connectivity?
Remember, removing vertices does not add connections.
True or False: Minimizing the number of edges in a graph while maintaining connectivity is possible with less than m edges.
Think about the definitions we've discussed.
Formulate a simple graph with l=2, m=3, n=4 and describe its properties in detail.
Visualize how nodes connect back to maintain compactness.
Consider a graph with 7 vertices and the following degrees: 3, 4, 2, 5, 6, 1, 1. Analyze its connectivity and characterize potential edge removals.
Use the degree counts to see if connections could be severed.
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