Let G = (V, E) be an undirected multi-graph with a special vertex root ∈ V , and where each edge e ∈ E is endowed with a length l(e) ≥ 0 and a capacity c(e) > 0. For a pa...
In combinatorial optimization, a popular approach to NP-hard problems is the design of approximation algorithms. These algorithms typically run in polynomial time and are guarante...
We present the first constant-factor approximation algorithm for the metric k-median problem. The k-median problem is one of the most well-studied clustering problems, i.e., those...
In this paper we consider both the maximization variant Max Rep and the minimization variant Min Rep of the famous Label Cover problem, for which, till now, the best approximation ...
Moses Charikar, MohammadTaghi Hajiaghayi, Howard J...
The input to the minimum latency set cover problem (MLSC) consists of a set of jobs and a set of tools. Each job j needs a specific subset Sj of the tools in order to be processed...