What does the degree of a vertex represent in an academiccollaboration graph? What does the neighborhood of avertex represent? What do isolated and pendant verticesrepresent?

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What does the degree of a vertex represent in an academic
collaboration graph? What does the neighborhood of a
vertex represent? What do isolated and pendant vertices
represent?

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Step 1

Definition Used- 

  • In a graph, Degree of a vertex is equal to the number of edges that are incident with it.
  • In a graph G, the neighborhood of a vertex v is the sub-graph of G induced by all vertices adjacent to v.
  • An isolated vertex is a vertex which is of degree zero.
  • A pendent vertex is a vertex which is of degree one.
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