There is no unique and widely accepted definition of the complexity measure (CM) a many-fermion wave function in presence interactions. The simplest Slater determinant. In shell-model or configuration interaction (CI) other related methods, state represented as superposition large number determinants, which case CI calculations reaches about 20 billion terms. Although practice this has been use...

We show that every gammoid has special digraph representations, such a representation of the dual may be easily obtained by reversing all arcs. In an informal sense, duality notion poset applied to commutes with operation forming gammoid. use these representations in order define complexity measure for gammoids, classes gammoids bounded are closed under duality, minors, and direct sums.