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 (A)</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 (C)</p> Signup and view all the answers

Which type of edge has the property of coinciding endpoints?

<p>Loop edges (D)</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 (B)</p> Signup and view all the answers

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

<p>'Simple' graph (D)</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' (B)</p> Signup and view all the answers

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

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

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