Algorithms Analysis Practice Test 2025 – All-in-One Mastery Guide to Exam Success

The term that accurately describes a graph with arrows and no lines is a directed graph, which is a graph where the edges have a direction indicated by arrows. In this context, a directed acyclic graph (DAG) is a special type of directed graph that has no cycles, meaning that there is no way to start at a vertex and follow a consistently directed path that eventually loops back to the starting vertex.

When analyzing graphs, the presence of arrows implies that there is a direction to the relationships between vertices, which is a characteristic of directed graphs. If the graph is acyclic, it means that it does not contain any cycles, fulfilling the additional criteria to be considered a directed acyclic graph. In many applications like scheduling, data processing, and representing dependencies, DAGs are particularly useful as they prevent circular dependencies, which can lead to complex issues during execution.

The other options do not fully capture the nuances of having arrows (indicating direction) and the absence of cycles, which are fundamental aspects of a directed acyclic graph.