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- W2898612188 abstract "A set of n points in the Euclidean plane determines at least n distinct lines unless these n points are collinear. In 2006, Chen and Chvátal asked whether the same statement holds true in general metric spaces, where the line determined by points x and y is defined as the set consisting of x, y, and all points z such that one of the three points x, y, z lies between the other two. The conjecture that it does hold true remains unresolved even in the special case where the metric space arises from a connected undirected graph with unit lengths assigned to edges. We trace its curriculum vitae and point out twenty-nine related open problems plus three additional conjectures." @default.
- W2898612188 created "2018-11-02" @default.
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- W2898612188 date "2018-01-01" @default.
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- W2898612188 title "A De Bruijn-Erdős Theorem in Graphs?" @default.
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- W2898612188 doi "https://doi.org/10.1007/978-3-319-97686-0_13" @default.
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