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Diagrams,orientations, and varieties
Authors:Hans-Jürgen Bandelt  Ivan Rival
Affiliation:(1) Department of Mathematics, University of Maastricht, Maastricht, The Netherlands;(2) Department of Computer Science, University of Ottawa, K1N 9B4 Ottawa, Canada
Abstract:One of the central problems in the theory of ordered sets is to describe the orientations of the covering graph of an ordered set. We show that the particular operation called lsquoinversionrsquo, together with the classical constructions of retraction and product, provide a context for the classification of all such orientations.AMS subject classifications (1980). 06A10, 05C75, 05C20.
Keywords:Covering graph  diagram  retract  product  orientation  inversion  variety  alternating cover cycle  cycle
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