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3 cards from this section. Quick, good the night before a test.
Define an induced subgraph.
Think about the subset of vertices and how edges are treated.
What is the difference between a subgraph and a proper subgraph?
Focus on the criteria that separates these types.
What defines an induced subgraph?
Focus on what makes the edges part of the induced subgraph.
True or False: An induced subgraph can have edges that connect vertices not in the selected set.
Reflect on the definition of how induced subgraphs function.
Consider a graph consisting of vertices {a, b, c, d, e} and edges {(a, b), (b, c), (a, c), (c, d)}. If we select W = {a, b, d}, describe the edges in the induced subgraph.
Study the connections based on the selected vertices carefully.
In a real-world scenario, explain how you might use induced subgraphs to study a social network and provide an example with 3 vertices.
Consider the network structure and relationship implications.
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