Graph and Network Optimization Quiz
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Questions and Answers

Which of the following is a correct definition of a graph?

  • A graph is a pair E ⊆N ×N
  • A graph is a set of arcs
  • A graph is a set of nodes
  • A graph is a pair G = (N, E) (correct)

    • What types of problems can be formulated in terms of graphs and networks?

  • Transportation and distribution problems
  • Location problems
  • Project planning
  • All of the above (correct)

    • What is the difference between an undirected graph and a directed graph?

  • An undirected graph has arcs, while a directed graph has edges
  • An undirected graph has unordered pairs of nodes, while a directed graph has ordered pairs of nodes (correct)
  • An undirected graph connects nodes with arcs, while a directed graph connects nodes with edges
  • An undirected graph has ordered pairs of nodes, while a directed graph has unordered pairs of nodes

    • Which of the following is an example of a directed graph?

    <p>A communication network</p> Signup and view all the answers

    What is the set of nodes in the given graph?

    <p>{1, 2, 3, 4, 5}</p> Signup and view all the answers

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