A project network is a graph (flow chart) depicting the sequence in which a project's terminal elements are to be completed by showing terminal elements and their dependencies.It is always drawn from left to right to reflect project chronology.roject dependencies can also be depicted by a predecessor table. Although such a form is very inconvenient for human analysis, project management software often offers such a view for data entry. An alternative way of showing and analyzing the sequence of project work is the design structure matrix.