Let P be a set of polygonal pseudodiscs in the plane with n edges in total translating with xed velocities in xed directions. We prove that the maximumnumber of combinatorial chan...
For a collection F of d-variate piecewise linear functions of overall combinatorial complexity n, the lower envelope E(F) of F is the pointwise minimum of these functions. The min...
We present a simple but powerful new probabilistic technique for analyzing the combinatorial complexity of various substructures in arrangements of piecewise-linear surfaces in hig...