We consider the Maximum Integral Flow with Energy Constraints problem: given a directed graph G = (V, E) with edge-weights {w(e) : e E} and node battery capacities {b(v) : v V }...
We present a framework for implementing geometric algorithms involving motion. It is written in C++ and modeled after and makes extensive use of CGAL (Computational Geometry Algor...
Leonidas J. Guibas, Menelaos I. Karavelas, Daniel ...
Abstract. We present an algorithm for counting the irreducible components of a complex algebraic variety defined by a fixed number of polynomials encoded as straight-line programs ...
For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
This work examines algebraic techniques for comparing quadratic algebraic numbers, thus yielding methods for deciding key predicates in various geometric constructions. Our motiva...