On a Partition LP Relaxation for Min-Cost 2-Node Connected Spanning Subgraphs
Data Structures and Algorithms
2021-11-16 v1
Abstract
Our motivation is to improve on the best approximation guarantee known for the problem of finding a minimum-cost 2-node connected spanning subgraph of a given undirected graph with nonnegative edge costs. We present an LP (Linear Programming) relaxation based on partition constraints. The special case where the input contains a spanning tree of zero cost is called 2NC-TAP. We present a greedy algorithm for 2NC-TAP, and we analyze it via dual-fitting for our partition LP relaxation. Keywords: 2-node connected graphs, approximation algorithms, connectivity augmentation, greedy algorithm, network design, partition relaxation
Keywords
Cite
@article{arxiv.2111.07481,
title = {On a Partition LP Relaxation for Min-Cost 2-Node Connected Spanning Subgraphs},
author = {Logan Grout and Joseph Cheriyan and Bundit Laekhanukit},
journal= {arXiv preprint arXiv:2111.07481},
year = {2021}
}