Abstract.
In this note we prove that if a simplicial complex K can be embedded geometrically in R m , then a certain linear system of equations associated with K possesses a small integral solution.
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Received July 5, 1998, and in revised form May13, 1999.
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Novik, I. A Note on Geometric Embeddings of Simplicial Complexes in a Euclidean Space. Discrete Comput Geom 23, 293–302 (2000). https://doi.org/10.1007/PL00009501
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DOI: https://doi.org/10.1007/PL00009501