In this paper we present the geometrical construction of an approximate generalized Voronoi diagram for generalized polygons and circular objects based on their minimum geometrica...
A pants decomposition of an orientable surface is a collection of simple cycles that partition into pants, i.e., surfaces of genus zero with three boundary cycles. Given a set P...
To monitor an electric power system by placing as few phase measurement units (PMUs) as possible is closely related to the famous vertex cover problem and domination problem in gr...
In this paper, we give a O(log copt)-approximation algorithm for the point guard problem where copt is the optimal number of guards. Our algorithm runs in time polynomial in n, the...
Ajay Deshpande, Taejung Kim, Erik D. Demaine, Sanj...
We present in this paper a simple yet e cient algorithm for stabbing a set S of n axisparallel boxes in d-dimensional space with c(S) points in output-sensitive time O(dn log c(S)...