Algorithms Analysis Practice Test

A graph that consists only of lines and no arrows is best described as an undirected graph. In this type of graph, the edges connecting the vertices do not have a direction, meaning the relationship represented by the edges is mutual. For example, if vertex A is connected to vertex B, you can traverse between A and B equally without a defined starting or ending point.

In contrast, a directed graph contains edges that have a specific direction, indicated by arrows, which shows the flow from one vertex to another. A tree, while it is a type of graph and can be undirected, has specific properties such as being connected and acyclic. Directed acyclic graphs, similar to directed graphs, also have edges with direction and cannot have cycles. Therefore, the distinguishing feature of an undirected graph is the absence of arrows, clearly defining that the connections between nodes are bidirectional.