-A directory in an operating system is a collection of related files that stores references of other files or other directories.
Differences
-Acyclic graph directory is a graph that does not have a cycle and prompts us to exchange files and subdirectories which may exist in two directories while a tree-structured directory is a tree-like data model that groups data elements referred to as nodes by using links.
-Acyclic- Graph directory is a type of directory structure where sharing of files and subdirectories is possible since it is a structure with no cycle contrary to tree-structured directory whereby multiple directories do not exist in multiple directories making sharing files a problem.
-Acyclic-graph directory provides different paths within a directory which is not the case of a tree-structured directory whereby it has a root directory and every file within the system is given a unique pathname.