Abstract: A network may be organized to provide components. Components may be generated by combining other components (sub-components) together, and components may be provided by resources in the network. This network may be represented by a graph of nodes representing components and resources. In order to efficiently analyze this graph to generate a network plan, the graph may be subdivided into independent sub-graphs. Individual resources may be shared by individual sub-graphs and considered independent when those resources are underutilized or otherwise unconstrained. Models may be used to predict which resources are unconstrained and allow those resources to be shared by otherwise independent sub-graphs, thereby increasing the decomposition of the graph and improving the efficiency of the network plan analysis.