Showing papers on "Betweenness centrality published in 1996"
01 May 1996
20 citations
TL;DR: In this article, the authors construct an example of a ternary structure satisfying certain conditions due to M. Kolibiar, which is not a betweenness relation of any lattice.
Abstract: We construct an example of a ternary structure satisfying certain conditions due to M. Kolibiar, which is not a betweenness relation of any lattice. This answers a question posed by J. Hedlikova and T. Katriňak.
5 citations
Journal Article•
TL;DR: In this paper, it was shown that the class C of all linear ternary structures with a single relation T which can be embedded into (V, T v ) for some vector space V over an arbitrary ordered field F (not just the real numbers) can be axiomatized by a set of universal sentences.
Abstract: Let V be a vector space over an ordered field F . The ternary betweenness relation T v on V , induced by the linear structure of V and the ordering of F , is defined by T v ( x , y , z ) <=> (3teF)(0
2 citations