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3 cards from this section. Quick, good the night before a test.
What is vertex connectivity?
Think about how many nodes you could take out to break a path.
If a graph has n vertices, what is the maximum number of edges it can have?
This counts every connection.
What defines vertex connectivity?
Think about how you'd keep a group connected.
True or False: Every complete graph has vertex connectivity equal to n-1.
Consider how many edges are possible in a complete structure.
Construct two graphs where vertex and edge connectivity varies but both achieve the same minimum degree. Explain how it's achieved.
Use different configurations to maintain degree but vary edges.
Design a simple graph with 6 vertices, ensuring that vertex connectivity is 4, while edge connectivity is lesser. Show configurations.
Think about groups that rely on fewer vertices while maintaining edge diversity.
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