A $2$-Approximation Algorithm for Flexible Graph Connectivity

TL;DR

This paper introduces a 2-approximation algorithm for the Flexible Graph Connectivity problem, leveraging a reduction to the minimum cost r-out 2-arborescence problem, advancing approximation techniques in network connectivity.

Contribution

It provides the first 2-approximation algorithm for the problem using a novel reduction approach, improving upon previous methods.

Findings

Achieved a 2-approximation for the problem

Established a reduction to the minimum cost r-out 2-arborescence problem

Enhanced approximation techniques for network connectivity problems

Abstract

We present a $2$-approximation algorithm for the Flexible Graph Connectivity problem [AHM20] via a reduction to the minimum cost $r$-out $2$-arborescence problem.