This paper presents an extended implementation of a P-graph for an open-structure biomass network synthesis. Biomass and biofuel production networks syntheses are generally complex tasks of a considerable scale and comprehensive interactions. The applications of information technology and computer software tools, in this case P-graph, are essential for providing fast and as accurate as possible solutions with a user-friendly interface. This work demonstrates the relationships of mathematical models with P-graph representations. A case study is included that demonstrates the implementation of a framework regarding a P-graph for an extension to biomass network synthesis. An assessment and evaluation of P-graph and Mathematical Programming as a method for biomass supply chain synthesis concludes this paper.