Article

A study of the order dimension of a poset using matrices

Published in: Quaestiones Mathematicae
Volume 39 , issue 6 , 2016 , pages: 797–814

DOI: 10.2989/16073606.2016.1161670

Author(s): D.N. Georgiou University of Patras, Greece , A.C. Megaritis Technological Educational Institute of Western Greece, Greece , F. Sereti University of Patras, Greece

Keywords: 06A07 , 06A07

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Abstract

In every finite poset (X, ≤) we assign the so called order-matrix , where α_ij ∈ {−2, 0, 1, 2}. Using this matrix, we characterize the order dimension of an arbitrary finite poset.

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