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4 cards from this section. Quick, good the night before a test.
Define vertex connectivity.
Think about the vertices that connect different parts of a graph.
What is the edge connectivity of a graph?
Consider the edges that maintain the graph's continuity.
What is the minimum degree in a graph?
Think about which vertex has the least connections.
True or False: Vertex connectivity is always greater than or equal to edge connectivity.
Consider how removing vertices affects edge connections.
Prove or disprove that among any three graphs, the union's vertex connectivity is less than or equal to the smallest vertex connectivity among the three. Provide an example.
Think about what happens to the graph structure when combining different graphs.
Select a random simple graph and construct its Cartesian product with another random graph. Analyze the resulting graph's properties.
Remember the rules for connecting vertices based on original adjacency.
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