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Antichains in partial order, example: Pollution in a German region by lead, cadmium, zinc and sulfur in the herb layer.
Match-Commun. Math. Comput. Chem. 67, 731-744 (2012)
Simple elements of partial order theory turned out be useful tools when rankings are needed. Here we show, how a subset of objects, mutually incomparable (called an antichain) can be further analyzed. There is a surprising relation to extremal graph theory, namely an application of the famous thorem of Turan. As example, we analyze the partially ordered sets of regions in the South - West of Germany, where the characterizing attributes are discretized concentrations of Lead, Cadmium, Zinc and Sulfar in the herb layer.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
STRUCTURE-PROPERTY; RANKING; POSETS; CHEMISTRY; SETS; TOOL
ISSN (print) / ISBN
0340-6253
e-ISSN
0340-6253
Quellenangaben
Volume: 67,
Issue: 3,
Pages: 731-744
Publisher
University of Kragujevac
Publishing Place
Kragujevac, Serbia
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)