Algorithms Analysis 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

In a graph, what do the circles typically represent?

Edges

Vertices

In graph theory, circles in a graph typically represent vertices, which are the fundamental units or points in a graph where edges connect. Each vertex can have properties or values associated with it, and they serve as the intersection points for the edges, which illustrate relationships or connections between the various vertices.

Although the term "nodes" is often interchangeable with vertices, in this context, the more precise term is vertices, as it aligns closely with standard terminology used in graph theory. Circles represent these entities, and the arrangement and connections between them form the structure of the graph.

Edges are depicted as lines connecting these circles, while cycles refer to paths in which a vertex is revisited. Thus, the identification of circles as vertices is crucial to understanding the overall structure and function of a graph in algorithms and data structures.

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Nodes

Cycles

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