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4 cards from this section. Quick, good the night before a test.
Define an edge cut in your own words.
Think about how removing connections can affect overall connectivity.
What is edge connectivity?
Consider how many connections are crucial for keeping a graph intact.
What defines an edge cut in a graph?
Focus on the outcomes of edge removal related to connectivity.
True or False: Every connected graph has at least one edge cut.
Consider the nature of connectivity in graphs.
Consider a graph with vertices labeled A, B, C, D, and edges (A, B), (B, C), (C, D), (D, A), (B, D). Identify and list all edge cuts, and calculate the edge connectivity.
Analyze how each edge interacts with the others connected.
Given a graph example where edge connectivity = 1, construct such a graph and justify your answer by identifying its edge cut.
Visualize scenarios where minimal edge connection is pertinent.
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