• Corpus ID: 238198391

On the Geometry of Stable Steiner Tree Instances

@inproceedings{Freitag2021OnTG,
  title={On the Geometry of Stable Steiner Tree Instances},
  author={James Freitag and Neshat Mohammadi and Aditya Potukuchi and L. Reyzin},
  booktitle={Canadian Conference on Computational Geometry},
  year={2021}
}
In this work we consider the Steiner tree problem under Bilu-Linial stability. We give strong geometric structural properties that need to be satisfied by stable instances. We then make use of, and strengthen, these geometric properties to show that 1 . 59-stable instances of Euclidean Steiner trees are polynomial-time solvable by showing it reduces to the minimum spanning tree problem. We also provide a connection between certain approximation algorithms and Bilu-Linial stability for Steiner… 

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