# Computational Geometry Column 62

@article{Cardinal2015ComputationalGC,
title={Computational Geometry Column 62},
author={Jean Cardinal},
journal={ACM SIGACT News},
year={2015},
volume={46},
pages={69 - 78}
}
• J. Cardinal
• Published 1 December 2015
• Mathematics
• ACM SIGACT News
In this column, we consider natural problems in computational geometry that are polynomialtime equivalent to finding a real solution to a system of polynomial inequalities. Such problems are called ⇿R-complete, and typically involve geometric graphs. We describe the foundations of those completeness proofs, in particular Mnëv's Universality Theorem, as well as some known ⇿R-completeness results, and recent additions to the list. The results shed light on the complex structure of those problems…
37 Citations

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