For an acyclic network, it is possible to number
the nodes so that if arc (i,j) exists, then i < j. Acyclic
networks do not have "loops" (cycles). A loop or cycle is a path that returns
to a node previously left. Following picture is an acyclic network. If
the arcs correspond to activities that have a time sequence, the network
is naturally acyclic. For example, project management networks are acyclic.
”Acyclic Network Example”