We present the first optimal algorithm to compute the maximum Tukey depth (also known as location or halfspace depth) for a non-degenerate point set in the plane. The algorithm is...
Given a set P of n points in R2 , we consider two related problems. Firstly, we study the problem of computing two isothetic unit squares which may be either disjoint or intersect...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...
We present a simple randomized scheme for triangulating a set P of n points in the plane, and construct a kinetic data structure which maintains the triangulation as the points of...
—Symmetry breaking is a fundamental operation in distributed computing. It has applications to important problems such as graph vertex and edge coloring, maximal independent sets...
Given a set P of n points in Rd, a fundamental problem in computational geometry is concerned with finding the smallest shape of some type that encloses all the points of P. Well-...
David M. Mount, Nathan S. Netanyahu, Christine D. ...