Abstract
Two-terminal directed acyclic graphs (st-dags) are used to model problems in many areas and, hence, measures for their topology are needed. Complexity Index ( CI) is one such measure and is defined as the minimum number of node reductions required to reduce a given st-dag into a single-arc graph, when used along with series and parallel reductions. In this research we present a constraint logic programming algorithm (implemented in ILOG's OPL–– Optimization Programming Language) for the generation of st-dags with a given CI. To this end the complexity graph with a maximum matching of CI, the dominator tree, the reverse dominator tree and the st-dag are characterized by a set of constraints. Then a multi-phase algorithm is presented which searches the space described by the set of constraints. Finally, the computational performance of the algorithm is tested.
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