We consider an APX-hard variant (∆-Max-ATSP) and an APX-hard relaxation (Max-3-DCC) of the classical traveling salesman problem. We present a 31 40-approximation algorithm for ...
This paper continues the investigation of the connection between probabilistically checkable proofs (PCPs) and the approximability of NP-optimization problems. The emphasis is on p...
In this note we present an approximation algorithm for MAX 2SAT that given a (1 - ) satisfiable instance finds an assignment of variables satisfying a 1 - O( ) fraction of all co...
Moses Charikar, Konstantin Makarychev, Yury Makary...
Assuming 3-SAT formulas are hard to refute with high probability, Feige showed approximation hardness results, among others for the max bipartite clique. We extend this result in t...
For the last ten years, a significant amount of work in the constraint community has been devoted to the improvement of complete methods for solving soft constraints networks. We ...
Simon de Givry, Javier Larrosa, Pedro Meseguer, Th...