What is the technical term for a node in a directed acyclic graph (DAG)?Select one:a.Cycleb.Vertexc.Graphd.Edge

Break Down the Problem

1. Identify the question: We need to find the technical term for a node in a directed acyclic graph (DAG).
2. Understand the options provided: Each option represents a different term related to graph theory.

Relevant Concepts

1. Directed Acyclic Graph (DAG): A type of graph that is directed and contains no cycles, meaning it is impossible to return to the starting node by following the directed edges.
2. Vertex: A fundamental unit of a graph, which can represent entities or points in a structure.
3. Edge: A connection between two vertices in a graph.
4. Cycle: A path in a graph that starts and ends at the same vertex, which is not applicable in a DAG.

Analysis and Detail

1. Among the options provided:
   • a. Cycle: Not applicable in a DAG due to its acyclic nature.
   • b. Vertex: A correct term for a point in the graph and indeed refers to a node.
   • c. Graph: Refers to the overall structure, not an individual node.
   • d. Edge: Refers to the connection between two vertices, not a node itself.

Verify and Summarize

• The technical term that corresponds to a node in the context of graph theory and specifically in a directed acyclic graph (DAG) is "vertex". Thus, option b is correct.

Final Answer

b. Vertex