Practice Independent Set Problem (12.5) - Intractability: Checking Algorithms

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9 questions

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6 sample questions

Question 1.
Define what an independent set is.
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Think about the connections between vertices.
Question 2.
Can a single vertex form an independent set?
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Consider whether it has edges connecting to anything else.
3Question 3.
What defines an independent set?
- Connected vertices
- Unconnected vertices
- Vertices with edges
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Think about how edges relate to vertices.
4Question 4.
True or False: An independent set can contain two directly connected vertices.
- True
- False
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Recall what makes a set independent.
Question 5.
Given a complex graph with vertices numbered from 1 to 10 and edges connecting every vertex to two others, determine the largest possible independent set and justify your reasoning.
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Consider connections carefully before making selections.
Question 6.
Construct a graph and demonstrate two different independent sets within it. Highlight the differences in edge connections.
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Map edges clearly to visualize independence.

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