Distances in a rigid unit-distance graph in the plane
نویسندگان
چکیده
منابع مشابه
Different-Distance Sets in a Graph
A set of vertices $S$ in a connected graph $G$ is a different-distance set if, for any vertex $w$ outside $S$, no two vertices in $S$ have the same distance to $w$.The lower and upper different-distance number of a graph are the order of a smallest, respectively largest, maximal different-distance set.We prove that a different-distance set induces either a special type of path or an independent...
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15 صفحه اولDistinct Distances in the Plane
It is shown that every set of n points in the plane has an element from which there are at least cn 6/7 other elements at distinct distances, where c > 0 is a constant. This improves earlier results of Erd˝ os
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1991
ISSN: 0166-218X
DOI: 10.1016/0166-218x(91)90070-d