11. This facilitates the development of efficient approximation algorithms . 12. More involved techniques show that there are approximation algorithms with a slightly better approximation factor. 13. In 1972, an approximation algorithm for real polynomial-time solvability of linear programs. 14. Linear programming relaxation is a standard technique for designing approximation algorithms for hard optimization problems. 15. His recent results include obtaining a 3 approximation algorithm for the capacitated facility location problem. 16. The authors show that the above algorithm is a 3-approximation algorithm for correlation clustering. 17. An approximation algorithm which gives good empirical results on real-life data is presented by. 18. Hence, an approximation algorithm is the best that we can hope for in finite time. 19. Like approximation algorithms , they can be used to more quickly solve tough NP-complete problems. 20. If the algorithm is an approximation algorithm then the accuracy of the answer is another key factor.