Cyclic and Acyclic Graphs
A cyclic graph contains at least one path that starts and ends at the same vertex without repeating edges or, in the standard simple-cycle definition, vertices. An acyclic graph contains no cycles. Directed acyclic graphs are called DAGs and are particularly useful for dependency modeling.
A cycle represents a closed path.
Undirected trees are connected acyclic graphs.
DAG means Directed Acyclic Graph.
Cycle detection depends on whether the graph is directed or undirected.
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