About: Graph flattenability

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Flattenability in some -dimensional normed vector space is a property of graphs which states that any embedding, or drawing, of the graph in some high dimension can be "flattened" down to live in -dimensions, such that the distances between pairs of points connected by edges are preserved. A graph is -flattenable if every (DCS) with as its constraint graph has a -dimensional . Flattenability was first called realizability, but the name was changed to avoid confusion with a graph having some DCS with a -dimensional framework.

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  • Flattenability in some -dimensional normed vector space is a property of graphs which states that any embedding, or drawing, of the graph in some high dimension can be "flattened" down to live in -dimensions, such that the distances between pairs of points connected by edges are preserved. A graph is -flattenable if every (DCS) with as its constraint graph has a -dimensional . Flattenability was first called realizability, but the name was changed to avoid confusion with a graph having some DCS with a -dimensional framework. Flattenability has connections to structural rigidity, tensegrities, Cayley configuration spaces, and a variant of the Graph Realization Problem. (en)
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  • Flattenability in some -dimensional normed vector space is a property of graphs which states that any embedding, or drawing, of the graph in some high dimension can be "flattened" down to live in -dimensions, such that the distances between pairs of points connected by edges are preserved. A graph is -flattenable if every (DCS) with as its constraint graph has a -dimensional . Flattenability was first called realizability, but the name was changed to avoid confusion with a graph having some DCS with a -dimensional framework. (en)
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  • Graph flattenability (en)
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