Practice Various Operations On Graphs (1.1) - Various Operations on Graphs

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9 questions

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Exercise
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6 sample questions

Question 1.
Define a subgraph.
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Think about the relationship between parts and wholes.
Question 2.
What is the difference between a subgraph and a proper subgraph?
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Consider the definitions carefully.
3Question 3.
What defines a proper subgraph?
- It must equal the original graph
- It must have fewer vertices or edges
- It must be disconnected
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Think about the specific criteria.
4Question 4.
True or False: An induced subgraph can have all edges of the original graph.
- True
- False
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Remember the definition of induced subgraphs.
Question 5.
Given a graph with vertices A, B, C, and D, where edges AB, AC, and CD exist, identify all possible subgraphs. Is there a proper subgraph?
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Consider combinations of vertices and their edges.
Question 6.
Discuss whether graphs can be isomorphic without having the same number of edges. Provide the reasoning.
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Think about the structural properties of graphs.

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