Unravel the Code! 2025 Algorithms Analysis Test – Ace It Like a Pro!

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True/False: A graph that has identifiers on its vertices is known as a labeled graph.

True

The statement is true because a labeled graph is specifically defined as a graph in which each vertex is associated with a unique identifier or label. This labeling allows for distinguishing between different vertices and can be critical in various applications of graph theory, such as in network analysis, where the labels may represent entities like users or locations.

In a labeled graph, the identifiers can be any type of data, such as numbers, letters, or even more complex structures, provided that they uniquely identify each vertex. This contrasts with an unlabeled graph, where vertices are simply treated as indistinguishable from one another, aside from their connectivity to other vertices.

In summary, since the definition of a labeled graph directly aligns with the description provided in the question, this confirms that the answer is indeed true.

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False

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