
The authors introduce the notion of the fractional weak discrepancy of a poset \(P = \left( {V, \prec } \right)\). They formulate the fractional weak discrepancy problem as a linear program and show how its solution can also be used to calculate the integral weak discrepancy. Further they interpret the dual linear program as a circulation problem in a related directed graph and use this to give a structural characterization of the fractional weak discrepancy of a poset.
Combinatorics of partially ordered sets, partially ordered set, Fractional weak discrepancy, Linear programming, Applied Mathematics, Weak discrepancy, Discrete Mathematics and Combinatorics, Partially ordered sets, fractional weak discrepancy
Combinatorics of partially ordered sets, partially ordered set, Fractional weak discrepancy, Linear programming, Applied Mathematics, Weak discrepancy, Discrete Mathematics and Combinatorics, Partially ordered sets, fractional weak discrepancy
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