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- W2039596978 abstract "Let G be the graph obtained from all the rational points in the d-space Ed by connecting every pair at Euclidean distance one. It is known that G is a connected graph, provided d ⩾ 5. We establish an inequality of the form distG(x, y) ⩽ ⌈|x − y|⌉ + 1, for all d ⩾ 8, between the Euclidean distance |x − y| of any two rational points x and y and their corresponding distance distG(x, y) in the graph G. A slightly weaker relation is shown to hold in dimensions 5, 6 and 7." @default.
- W2039596978 created "2016-06-24" @default.
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- W2039596978 date "1992-11-01" @default.
- W2039596978 modified "2023-09-26" @default.
- W2039596978 title "Uniform distances in rational unit-distance graphs" @default.
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- W2039596978 doi "https://doi.org/10.1016/0012-365x(92)90301-u" @default.
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