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Characterization of Linear Betweenness Structures. (arXiv:1707.00659v1 [math.CO])

来源于:arXiv
In this paper, we extend the geometric concept of linearity to betweenness structures, suitable combinatorial abstractions of finite metric spaces. As our main result, we prove that every linear betweenness structure is induced by either a path (of length $n$) or a cycle of length 4. 查看全文>>