Practice Set Theoretic Operations On Graphs (1.5) - Various Operations on Graphs

Practice: Set Theoretic Operations on Graphs

Lesson 1.5Various Operations on Graphs

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9 questions

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5 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define a subgraph.
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Think about how a subgraph relates to a larger graph.
Question 2.
What distinguishes a proper subgraph from a general subgraph?
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Comparison helps here: think of identical vs non-identical.
3Question 3.
What is a proper subgraph?
- A subgraph that includes all edges and vertices of the original graph
- A subgraph that is not identical to the original graph
- A graph with fewer vertices than edges
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It's about comparison; think non-identity.
4Question 4.
True or False: Removing an edge from a graph also removes the connected vertices.
- True
- False
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Consider the independence of edges versus vertices.
Question 5.
Given a graph with vertices A, B, C, and edges AB, AC, BC. If edges AB and AC are removed, describe the resulting graph with vertex C remaining.
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Focus on the connections surrounding the vertex in question.
Question 6.
Create an example of a proper subgraph from a larger graph while ensuring none of its vertices or edges match the original graph.
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Think of combining elements without overlapping fully.

5 more questions in this section. Enroll free to practise them all.