In the minimum entropy set cover problem, one is given a collection of k sets which collectively cover an n-element ground set. A feasible solution of the problem is a partition o...
Consider a tree T and a forest F. The paper discusses the following new problems: The Forest vertex-cover problem (FVC): cover the vertices of T by a minimum number of copies of tr...
Multiobjective optimization deals with problems involving multiple measures of performance that should be optimized simultaneously. In this paper we extend bucket elimination (BE),...
We consider the Minimum Vertex Cover problem in intersection graphs of axis-parallel rectangles on the plane. We present two algorithms: The first is an EPTAS for non-crossing rect...
Given a directed graph G with non negative cost on the arcs, a directed tree cover of G is a directed tree such that either head or tail (or both of them) of every arc in G is touc...