Abstract. Finding maximum independent sets in graphs with bounded maximum degree is a well-studied NP-complete problem. We introduce an algorithm schema for improving the approxim...
Abstract. The vertex cover problem is a classical NP-complete problem for which the best worst-case approximation ratio is 2− o(1). In this paper, we use a collection of simple g...
We present a polynomial-time approximation algorithm for legally coloring as many edges of a given simple graph as possible using two colors. It achieves an approximation ratio of...
In set-system auctions, there are several overlapping teams of agents, and a task that can be completed by any of these teams. The auctioneer's goal is to hire a team and pay...
Edith Elkind, Leslie Ann Goldberg, Paul W. Goldber...
Given a set of rectangles we are asked to pack as many of them as possible into a bigger rectangle. The rectangles packed may not overlap and may not be rotated. This problem is NP...