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arXiv · 1612.04790

A 17/12-Approximation Algorithm for 2-Vertex-Connected Spanning Subgraphs on Graphs with Minimum Degree At Least 3

Vishnu V. Narayan
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Abstract

We obtain a polynomial-time 17/12-approximation algorithm for the minimum-cost 2-vertex-connected spanning subgraph problem, restricted to graphs of minimum degree at least 3. Our algorithm uses the framework of ear-decompositions for approximating connectivity problems, which was previously used in algorithms for finding the smallest 2-edge-connected spanning subgraph by Cheriyan, Seb\H{o} and Szigeti (SIAM J.Discrete Math. 2001) who gave a 17/12-approximation algorithm for this problem, and by Seb\H{o} and Vygen (Combinatorica 2014), who improved the approximation ratio to 4/3.

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Vishnu V. Narayan. 2016-12-14. A 17/12-Approximation Algorithm for 2-Vertex-Connected Spanning Subgraphs on Graphs with Minimum Degree At Least 3. https://arxiv.org/abs/1612.04790

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