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A New Approximation Algorithm for the Minimum 2-Edge-Connected Spanning Subgraph Problem

Data Structures and Algorithms 2023-05-10 v8

Abstract

We present a new approximation algorithm for the minimum 2-edge-connected spanning subgraph problem. Its approximation ratio is 43\frac{4}{3}, which matches the current best ratio. The approximation ratio of the algorithm is 65\frac{6}{5} on subcubic graphs, which is an improvement upon the previous best ratio of 54\frac{5}{4}. The algorithm is a novel extension of the primal-dual schema, which consists of two distinct phases. Both the algorithm and the analysis are much simpler than those of the previous approaches.

Keywords

Cite

@article{arxiv.1911.07232,
  title  = {A New Approximation Algorithm for the Minimum 2-Edge-Connected Spanning Subgraph Problem},
  author = {Ali Çivril},
  journal= {arXiv preprint arXiv:1911.07232},
  year   = {2023}
}

Comments

14 pages, appeared in TCS