Local ratio is a well-known paradigm for designing approximation algorithms for combinatorial optimization problems. At a very high level, a local-ratio algorithm first decomposes ...
We present an NC approximation algorithm for the weighted matching problem in graphs with an approximation ratio of (1 - ). This improves the previously best approximation ratio of...
We prove that weighted monotone/antimonotone circuit satisfiability has no fixed-parameter tractable approximation algorithm with any approximation ratio function ρ, unless FPT...
We study the approximability and inapproximability of finding identifying codes and locating-dominating codes of the minimum size. In general graphs, we show that it is possible ...
Quadratic Programming (QP) is the well-studied problem of maximizing over {−1, 1} values the quadratic form i=j aijxixj. QP captures many known combinatorial optimization proble...