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The convex dimension of a graph G=(V,E) is the smallest dimension d for which G admits an injective map f:V⟶Rd of its vertices into d-space, such that the barycenters of the images of the edges of G are in convex position. The strong convex dimension of G is the smallest d for which G admits a map as above such that the images of the vertices of G are also in convex position. In this paper we study...
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