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Explain the terms vertex or node, edge or arc, undirected graph, and directed graph. Include one example of a situation where a graph could be used.

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Question

Type

practice

Style

Topic

Graphs

Exam-style question

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Explain the terms vertex or node, edge or arc, undirected graph, and directed graph. Include one example of a situation where a graph could be used.

Model answer

What a good answer should say

  • A vertex, also called a node, is an item or point in a graph.
  • An edge, also called an arc, is a connection between vertices.
  • In an undirected graph, an edge has no direction, so the connection works in both directions.
  • In a directed graph, an edge has a specified direction from one vertex to another.

Explanation

Why this works

The answer identifies the main parts of a graph and distinguishes connections with and without direction. The example shows how a graph can represent a relationship between items.

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