In a directed graph, are the vertices along a path sorted?
In a directed graph, the vertices along a path are not necessarily sorted. The order of vertices along a path depends on the direction of the edges.
A directed graph is a graph where the edges have a direction associated with them, meaning that they point from one vertex (source) to another vertex (target). When we talk about a path in a directed graph, it means a sequence of vertices where there is a directed edge from each vertex to the next vertex in the sequence.
Unlike in an undirected graph, where the edges do not have a direction and the sequence of vertices in a path doesn't matter, in a directed graph, the order of vertices in a path is important. It indicates the direction in which the path is traversed.
So, to answer your question, in a directed graph, the vertices along a path are not necessarily sorted. The order of the vertices depends on the direction of the edges and the specific path being traversed.