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3 cards from this section. Quick, good the night before a test.
What is vertex connectivity?
Think about how many vertices you need to remove to make a graph fail.
Define edge connectivity.
Consider the edges that connect the different parts of the graph.
What is the definition of vertex connectivity?
Think about how many roads (vertices) you'd need to block to stop traffic.
Is it true that graph connectivity is higher in complete graphs than in non-complete ones?
Consider what makes a complete graph complete.
Design a non-complete graph with at least 6 nodes and identify its vertex and edge connectivity metrics.
Visualize how many paths lead to disconnecting the graph.
Prove that in a non-complete graph, at least one of the connectivity metrics must be less than the total number of nodes.
Think about how the total connection must yield a less-than-n metric.
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