Euler and Hamiltonian Paths and Circuits in Graphs
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Questions and Answers

What is the degree of vertex 'a' in the graph G with vertices {a,b,c,d} and edges {{a,b},{a,c}, {b,c},{a,d}}?

  • 4
  • 2
  • 3 (correct)
  • 1
  • In a simple graph, how many edges connect two vertices?

  • 2
  • 0
  • 1 (correct)
  • Multiple
  • If two vertices of a graph are joined by an edge, what term is used to describe them?

  • Parallel
  • Adjacent (correct)
  • Cyclic
  • Incident
  • What is the term for a graph that contains loops or multiple edges?

    <p>Multi-graph</p> Signup and view all the answers

    In a directed graph, what is the term for vertices that are directly connected by an edge?

    <p>Adjacent vertices</p> Signup and view all the answers

    Which type of edge has the property of coinciding endpoints?

    <p>Loop edges</p> Signup and view all the answers

    What is the degree sequence of a graph?

    <p>'Degrees' sequence of its vertices in descending order of size</p> Signup and view all the answers

    Which type of graph does not contain loops or multiple edges?

    <p>'Simple' graph</p> Signup and view all the answers

    What does the degree of a vertex in a graph represent?

    <p>'Number of edges incident with it'</p> Signup and view all the answers

    What is the term for a vertex with a degree of 0?

    <p>Isolated vertex</p> Signup and view all the answers

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