Practice Elimination Process (24.1.2) - Topological Ordering of Directed Acyclic Graphs (DAG)

Practice: Elimination Process

Lesson 24.1.2Topological Ordering of Directed Acyclic Graphs (DAG)

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9 questions

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6 sample questions

Question 1.
Define in-degree.
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Think about how edges connect vertices.
Question 2.
What happens to the in-degree of vertices when a vertex with in-degree 0 is removed?
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Consider the connections or outgoing edges.
3Question 3.
What does in-degree represent in a graph?
- Count of outgoing edges
- Count of incoming edges
- Total edges connected
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Focus on how edges approach the vertex.
4Question 4.
True or False: The removal of a vertex does not affect the connected vertices' in-degrees.
- True
- False
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Consider how vertices are interconnected.
Question 5.
Given a DAG with edges (1->2, 2->3, 1->3), what is the sequence of eliminations starting from in-degree zero vertices?
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Trace the edges to visualize which vertices connect.
Question 6.
Illustrate the effects of removing vertex 4 from a graph where the in-degrees of its neighbors become 0. What would be the next valid removal?
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Focus on how the dependencies change.

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