Balanced lines, halving triangles, and the generalized lower bound theorem

@inproceedings{Sharir2001BalancedLH,
  title={Balanced lines, halving triangles, and the generalized lower bound theorem},
  author={Micha Sharir and Emo Welzl},
  booktitle={Symposium on Computational Geometry},
  year={2001}
}
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 convex polytopes.