关于 Steiner 树有向分量松弛的整数性间隙
数据结构与算法
2011-12-06 v2
摘要
在本注记中，我们证明了 Byrka, Grandoni, Rothvob 和 Sanita (STOC 2010) 提出的针对 Steiner 树问题的 -有向分量松弛 (-DCR) 线性规划的整数性间隙至多为 。该证明是构造性的：我们可以有效地找到一个 Steiner 树，其成本至多为 -DCR LP 给出的最优分数 -限制 Steiner 树成本的 倍。
引用
@article{arxiv.1111.6698,
title = {On the Integrality Gap of the Directed-Component Relaxation for Steiner Tree},
author = {Mohammad Taghi Hajiaghayi and Shi Li},
journal= {arXiv preprint arXiv:1111.6698},
year = {2011}
}
备注
This paper has been withdrawn due to a crucial error in Lemma 4. In Lemma 4, additional property for $\{Y'_j\}$ is needed to guarantee that the family of distributions exists. However, we can not guarantee the condition for every iteration