Graph Theory Quiz
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Questions and Answers

What does a graph G(V, E) represent?

  • Set of edges and set of edges
  • Set of edges and set of vertices
  • Set of vertices and set of vertices
  • Set of vertices and set of edges (correct)

    • In an undirected graph, what is true about the edges?

  • Edges do not have any direction associated with them (correct)
  • Edges form an ordered pair
  • Edges have both directions associated with them
  • Edges can only be traversed in one direction

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

  • In a directed graph, edges do not have any direction associated with them
  • In a directed graph, edges form an ordered pair (correct)
  • In an undirected graph, edges form an ordered pair
  • In an undirected graph, edges have both directions associated with them

    • What is the total number of edges in the graph G(V, E) with 5 vertices and six edges?

    <p>10</p> Signup and view all the answers

    What does a directed edge from A to B indicate?

    <p>There is a path from A to B but not from B to A</p> Signup and view all the answers

    What is a graph in terms of vertices and edges?

    <p>A graph is an ordered set G(V, E) where V represents the set of vertices and E represents the set of edges.</p> Signup and view all the answers

    What does a directed graph imply?

    <p>Edges form an ordered pair, indicating a path from one node to another but not necessarily the other way around.</p> Signup and view all the answers

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

    <p>In an undirected graph, edges have no direction associated with them, allowing traversal in both directions between nodes.</p> Signup and view all the answers

    What does G(V, E) represent in a graph?

    <p>G(V, E) represents an ordered set where V represents the set of vertices and E represents the set of edges.</p> Signup and view all the answers

    In a graph, what do the vertices and edges represent?

    <p>Vertices represent the nodes and edges represent the connections between the nodes.</p> Signup and view all the answers

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