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单词 RealizationOfAGraph
释义

realization of a graph


A realization of a graph G in a topological spaceMathworldPlanetmath X is an injective map ρ:GX such that G with the graph topology is homeomorphic to ρ(G) with the subspace topology. Of particular interest are realizations of G in 3-dimensional Euclidean spaceMathworldPlanetmath, where each of the edges is a line segmentMathworldPlanetmath, and where no 4 points of G are coplanarMathworldPlanetmath.

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更新时间:2025/5/4 5:05:07