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Discrete Applied Mathematics
Article . 2007
License: Elsevier Non-Commercial
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Discrete Applied Mathematics
Article . 2007 . Peer-reviewed
License: Elsevier Non-Commercial
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Article . 2007
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Article . 2021
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The fractional weak discrepancy of a partially ordered set

Authors: Alan Shuchat; Randy Shull; Ann N. Trenk;

The fractional weak discrepancy of a partially ordered set

Abstract

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.

Related Organizations
Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
hybrid