# An impossible utopia in distance geometry

@article{Abud2021AnIU, title={An impossible utopia in distance geometry}, author={Germano Abud and Jorge Alencar and Carlile Lavor and Leo Liberti and Antonio Mucherino}, journal={ArXiv}, year={2021}, volume={abs/2110.01231} }

The Distance Geometry Problem asks for a realization of a given weighted graph in R . Two variants of this problem, both originating from protein conformation, are based on a given vertex order (which abstracts the protein backbone). Both variants involve an element of discrete decision in the realization of the next vertex in the order using K preceding (already realized) vertices. The difference between these variants is that one requires the K preceding vertices to be contiguous. The…

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