1. A method, comprising: preparing a model of a physical system, the model corresponding to a graphical dataset defining a number of vertices each corresponding to a different system variable and a number of edges each corresponding to a conditional transition path between two of the vertices, the model defining a closed pathway structure including a plurality of closed pathways; and decomposing the closed pathway structure of the model into a minimal set of fundamental cycles numbering less than the plurality of closed pathways, the fundamental cycles each being unique relative to one another, the decomposing of the closed pathway structure including: identifying a number of unique two-cycles each including two different members of the vertices; and successively evaluating different ones of the edges to identify the fundamental cycles belonging to the minimal set that each include three or more different members of the vertices.