Skip to content (access key 's')
Logo of Technion
Logo of CS Department
Logo of CS4People
Events

The Taub Faculty of Computer Science Events and Talks

Fault Tolerant Max-Cut
event speaker icon
Noa Marelly (M.Sc. Thesis Seminar)
event date icon
Thursday, 25.02.2021, 14:30
event location icon
Zoom Lecture: 98844121807
For password to lecture, please contact: noa.marelly@cs.technion.ac.il
event speaker icon
Advisor: Prof. Keren Censor-Hillel, Dr. Roy Schwartz
In this work, we initiate the study of fault tolerant Max-Cut, where given an edge-weighted undirected graph G=(V,E), the goal is to find a cut S, that maximizes the total weight of edges that cross S even after an adversary removes k vertices from G. We consider two types of adversaries: an adaptive adversary that sees the outcome of the random coin tosses used by the algorithm, and an oblivious adversary that does not. For any constant number of failures k we present an approximation of 0.878 against an adaptive adversary and of 0.8786 against an oblivious adversary (here 0.8786 is the approximation achieved by the random hyperplane algorithm of [Goemans-Williamson J. ACM `95]). Additionally, we present a hardness of approximation of 0.8786 against both types of adversaries, rendering our results (virtually) tight. Based on joint work with Keren Censor-Hillel, Roy Schwartz and Tigran Tonoyan.