Diagrams,orientations, and varieties |
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| Authors: | Hans-Jürgen Bandelt Ivan Rival |
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| Affiliation: | (1) Department of Mathematics, University of Maastricht, Maastricht, The Netherlands;(2) Department of Computer Science, University of Ottawa, K1N 9B4 Ottawa, Canada |
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| 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  inversion , 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. |
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| Keywords: | Covering graph diagram retract product orientation inversion variety alternating cover cycle cycle |
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