Connected Vertex Cover Problem (CVC) is an NP-hard problem. The currently best known approximation algorithm for CVC has performance ration 2. This paper gives the first Polynomial...
Given a set of n strings of length L and a radius d, the closest string problem (CSP for short) asks for a string tsol that is within a Hamming distance of d to each of the given ...
We present a new polynomial time approximation scheme (PTAS) for tree alignment, which is an important variant of multiple sequence alignment. As in the existing PTASs in the liter...
We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
Recently, Jain, Mahdian and Saberi [5] had given a FPTAS for the problem of computing a market equilibrium in the Arrow-Debreu setting, when the utilities are linear functions. The...
The closest substring problem, where a short string is sought that minimizes the number of mismatches between it and each of a given set of strings, is a minimization problem with ...
In this paper, we study the following disc covering problem: Given a set of discs of various radii on the plane, find a subset of discs to maximize the area covered by exactly on...
Abstract. In this paper we introduce a new technique for approximation schemes for geometrical optimization problems. As an example problem, we consider the following variant of th...
We present an asymptotic fully polynomial time approximation scheme for two-dimensional strip packing with rotations. In this problem, a set of rectangles need to be packed into a...
We obtain a polynomial time approximation scheme for the terrain guarding problem improving upon several recent constant factor approximations. Our algorithm is a local search algo...
Matt Gibson, Gaurav Kanade, Erik Krohn, Kasturi R....