Mastering Topological Ordering
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Questions and Answers

Which of the following is a key step in producing a topological ordering for a directed graph?

  • Looking for a node with an indegree of one and adding it to the ordering
  • Removing all outgoing edges from a node in the graph
  • Adding all nodes to the ordering in a random order
  • Finding a node with an indegree of zero and adding it to the ordering (correct)

    • What is the significance of a node with an indegree of zero in a topological ordering?

  • It has the highest indegree in the graph
  • It is the first node in the ordering (correct)
  • It is the last node in the ordering
  • It has the lowest indegree in the graph

    • What happens to a node once it is added to the topological ordering?

  • It and its incoming edges are removed from the graph
  • It is marked as visited but remains in the graph
  • It is marked as visited and removed from the graph
  • It and its outgoing edges are removed from the graph (correct)

    • How do we find the next node to add to the topological ordering after the first one?

    <p>Look for a node with an indegree of zero</p> Signup and view all the answers

    What do we do if there are multiple nodes with an indegree of zero in the graph?

    <p>Choose any of them to add to the ordering</p> Signup and view all the answers

    When do we stop adding nodes to the topological ordering?

    <p>When we're out of nodes</p> Signup and view all the answers

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