Motivated by applications in batch scheduling of jobs in manufacturing systems and distributed computing, we study two related problems. Given is a set of jobs {J1, . . . , Jn}, w...
The problem of coloring a set of n intervals (from the real line) with a set of k colors is studied. In such a coloring, two intersecting intervals must receive distinct colors. O...
This paper introduces a near-linear time sequential algorithm for constructing a sparse neighborhood cover. This implies analogous improvements (from quadratic to near-linear time)...
Given an undirected graph with positive edge weights, define Nq(v) for each node v to be the set of q nodes closest to v (including v itself and breaking ties by node ID). It is ...
Abstract. A weighting of the edges of a graph is called vertexcoloring if the weighted degrees of the vertices yield a proper coloring of the graph. In this paper we show that such...
Maciej Kalkowski, Michal Karonski, Florian Pfender