Can I read Dual Half-integrality for Uncrossable Cut Cover and its Application to Maximum Half-Integral Flow on EtoBox?

Dual Half-integrality for Uncrossable Cut Cover and its Application to Maximum Half-Integral Flow by Garg, Naveen; Kumar, Nikhil is a scholarly article available to read on EtoBox.

What is Dual Half-integrality for Uncrossable Cut Cover and its Application to Maximum Half-Integral Flow about?

Given an edge weighted graph and a forest $F$, the $\textit{2-edge connectivity augmentation problem}$ is to pick a minimum weighted set of edges, $E'$, such that every connected component of $E'\cup F$ is 2-edge connected. Williamson et al. gave a 2-approximation algorithm (WGMV) for this problem using the primal-dual schema. We show that when edge weights are integral, the WGMV procedure can be modified to obtain a half-integral dual. The 2-edge connectivity augmentation problem has an interesting connection to routing flow in graphs where the union of supply and demand is planar. The half-integrality of the dual leads to a tight 2-approximate max-half-integral-flow min-multicut theorem.

Author

Garg, Naveen; Kumar, Nikhil

Published

2020

Language

EN