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Necessary Conditions for Geometric Realizability of Simplicial Complexes

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Discrete Differential Geometry

Part of the book series: Oberwolfach Seminars ((OWS,volume 38))

Abstract

We associate with any simplicial complex K and any integer m a system of linear equations and inequalities. If K has a simplicial embedding in m, then the system has an integer solution. This result extends the work of Novik (2000).

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Timmreck, D. (2008). Necessary Conditions for Geometric Realizability of Simplicial Complexes. In: Bobenko, A.I., Sullivan, J.M., Schröder, P., Ziegler, G.M. (eds) Discrete Differential Geometry. Oberwolfach Seminars, vol 38. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8621-4_11

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