A graph can be defined as a collection of:a.Verticesb.Edgesc.Both vertices and edgesd.None of the aboveClear my choice

The correct answer to the question about how a graph can be defined is:

Final Answer

c. Both vertices and edges.

Explanation

A graph is a fundamental concept in mathematics and computer science, primarily used to represent relationships between pairs of objects. It is made up of two main components:

1. Vertices (or Nodes): These are the individual entities within the graph. They can represent various things, such as points in a network, locations on a map, or elements in a dataset.

2. Edges (or Links): These are the connections or relationships between the vertices. Edges can be directed (indicating a one-way relationship) or undirected (indicating a mutual relationship).

Hence, a graph is defined as a collection of both vertices and edges, illustrating how the entities (vertices) are interconnected through their relationships (edges). Understanding this structure is crucial in fields like network analysis, computer science, and discrete mathematics, among others.