2006 | OriginalPaper | Buchkapitel
Betweenness and Comparability Obtained from Binary Relations
verfasst von : Ivo Düntsch, Alasdair Urquhart
Erschienen in: Relations and Kleene Algebra in Computer Science
Verlag: Springer Berlin Heidelberg
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We give a brief overview of the axiomatic development of betweenness relations, and investigate the connections between these and comparability graphs. Furthermore, we characterize betweenness relations induced by reflexive and antisymmetric binary relations, thus generalizing earlier results on partial orders. We conclude with a sketch of the algorithmic aspects of recognizing induced betweenness relations.