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3 cards from this section. Quick, good the night before a test.
Define what a subgraph is.
Think about which parts of a graph are used to create a subgraph.
What differentiates a proper subgraph from a regular subgraph?
It must have fewer elements than the parent graph.
What is a subgraph?
Focus on how subgraphs are formed.
True or False: An induced subgraph can contain edges connecting vertices not in the subset.
Think carefully about the definition of induced subgraphs.
Given a graph G with vertices A, B, C, D, and edges covering all pairs of these vertices, create a proper subgraph and identify whether it remains connected.
Determine adjacent vertices to include an edge.
Explain in detail the significance of induced subgraphs and how they apply in real-life scenarios, such as social networks or transportation systems.
Consider how focusing on groups simplifies complex relationships.
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