摘要: Unique Sink Orientations (USOs) are orientations of the hypercube graph capable encoding many optimization problems, such as linear programming. When a USO is given in implicit form an oracle, recognition problem aims to distinguish from non-USO oracles. In this thesis we introduce new type orientation, pseudo-USOs, which closely related problem. We derive their combinatorial properties, up and including full characterization. Using these design efficient algorithms both classical quantum models computation.