How Well Do You Know Trees and Forests in Graph Theory?
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Questions and Answers

What is a tree in graph theory?

  • A directed acyclic graph with an underlying undirected graph that is a tree
  • A connected acyclic undirected graph (correct)
  • An undirected graph with at most one path between any two vertices
  • A disjoint union of trees

    • What is a polytree?

  • An undirected graph with at most one path between any two vertices
  • A directed acyclic graph whose underlying undirected graph is a forest
  • A directed acyclic graph whose underlying undirected graph is a tree (correct)
  • A disjoint union of rooted trees

    • What is a rooted forest?

  • A directed acyclic graph whose underlying undirected graph is a forest
  • An undirected graph with at most one path between any two vertices
  • A disjoint union of rooted trees (correct)
  • A directed acyclic graph whose underlying undirected graph is a tree

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