We study the 1-center problem with outliers in highdimensional data streams. The problem definition is as follows: given a sequence of n points in d dimensions (with d arbitrarily...
Motivated by the question of the polytopal realizability of the simplicial complex n,k of (k + 1)-crossing-free sets of diagonals of the convex n-gon, we study the first open case...
We consider a special class of art gallery problems inspired by wireless localization. Given a simple polygon P, place and orient guards each of which broadcasts a unique key with...
We prove the following generalised empty pentagon theorem: for every integer 2, every sufficiently large set of points in the plane contains collinear points or an empty pentagon...
In this paper we study the problem of computing an upward straight-line embedding of a directed graph G into a point set S, i.e. a planar drawing of G such that each vertex is map...
Carla Binucci, Emilio Di Giacomo, Walter Didimo, A...
We solve instances of a general class of problems defined as follows: Preprocess a set S of possibly weighted colored geometric objects (e.g. points/orthogonal segments/rectangles...
In this paper, we present new algorithms for computing maximum perimeter and maximum area of the convex hull of imprecise inputs based on the parallel line segment model. The runn...
Clarkson's algorithm is a two-staged randomized algorithm for solving linear programs, but it can also be applied to the more general LP-type problems which comprise a number...