Algorithms Analysis Practice Test 2025 - Free Algorithms Practice Questions and Study Guide

Question: 1 / 400

True/False: A graph is defined as a set of vertices and edges, where each edge connects pairs of vertices.

True

A graph is indeed defined as a set of vertices and edges, where each edge connects pairs of vertices. This definition captures the fundamental structure of a graph in graph theory. The vertices represent the entities within the graph, while the edges denote the connections or relationships between these entities.

In this context, each edge serves as a direct link between two vertices, highlighting how they interact or relate to one another. This quality makes graphs versatile tools in various fields, including computer science, mathematics, and social sciences, to model relationships and analyze connectivity. Hence, stating that a graph consists of a set of vertices and edges where edges connect pairs of vertices accurately reflects the definition of a graph.

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False

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