On Approximation of Robust Max-Cut and Related Problems using Randomized Rounding Algorithms
Data Structures and Algorithms
2024-06-05 v1 Optimization and Control
Abstract
Goemans and Williamson proposed a randomized rounding algorithm for the MAX-CUT problem with a 0.878 approximation bound in expectation. The 0.878 approximation bound remains the best-known approximation bound for this APX-hard problem. Their approach was subsequently applied to other related problems such as Max-DiCut, MAX-SAT, and Max-2SAT, etc. We show that the randomized rounding algorithm can also be used to achieve a 0.878 approximation bound for the robust and distributionally robust counterparts of the max-cut problem. We also show that the approximation bounds for the other problems are maintained for their robust and distributionally robust counterparts if the randomization projection framework is used.
Cite
@article{arxiv.2406.01856,
title = {On Approximation of Robust Max-Cut and Related Problems using Randomized Rounding Algorithms},
author = {Haoyan Shi and Sanjay Mehrotra},
journal= {arXiv preprint arXiv:2406.01856},
year = {2024}
}