Abstract
A recent result by Pach and Pinchasi on so-called balanced lines of a finite two-colored point set in the plane is related to other facts on halving triangles in 3-space and to a special case of the Generalized Lower Bound Theorem for convexpo lytopes.
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Sharir, M., Welzl, E. (2003). Balanced Lines, Halving Triangles, and the Generalized Lower Bound Theorem. In: Aronov, B., Basu, S., Pach, J., Sharir, M. (eds) Discrete and Computational Geometry. Algorithms and Combinatorics, vol 25. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55566-4_37
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DOI: https://doi.org/10.1007/978-3-642-55566-4_37
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