寻找几乎紧的见证树

Finding almost tight witness trees

Mathematical Programming · 2026
被引 0
ABS 4

中文导读

研究见证树问题,通过更优的见证树选择改进了节点树增强和特殊图类中斯坦纳树的近似算法。

Abstract

Abstract This paper addresses a graph optimization problem, called the Witness Tree problem, which seeks a spanning tree of a graph minimizing a certain non-linear objective function. This problem is of interest because it plays a crucial role in the analysis of the best approximation algorithms for two fundamental network design problems: Steiner Tree and Node-Tree Augmentation. We will show how a wiser choice of witness trees leads to an improved approximation for Node-Tree Augmentation, and for Steiner Tree in special classes of graphs.

网络设计近似算法斯坦纳树图论