On bipartite min-max-plus systems

Bipartite systems form a subclass of min-max-plus systems, the latter are characterized by the operations maximization, minimization and addition. Such systems are nonlinear in both the linear classes of max-plus systems and min-plus systems. Structural and nonstructural fixed-points will be defined and properties pertaining to them will be derived. Bipartite systems can be thought of to be built up from more elementary subsystems (`molecules´). The decomposition into such elementary subsystems will be studied and also how properties of the `total´ system depend on properties of these subsystems. Some counterexamples to some conjectures in an earlier paper on bipartite systems will be given as well.