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A New Approach to Characterise all the Transitive Orientations for an Undirected Graph

A. Belkasri, M. Hamade

alg-geomarXiv:alg-geom/9411013

Abstract

A new approach to find all the transitive orientations for a comparability graph (finite or infinite) is presented. This approach is based on the link between the notion of ``strong'' partitive set and the forcing theory (notions of simplices and multiplices). A mathematical algorithm is given for the case of a comparability graph which has only non limit sub-graphs.

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