Abstract
We give a \( \frac{{17}} {{12}} \) -approximation algorithm for the following NP- hard problem: Given a simple undirected graph, find a 2-edge connected span- ning subgraph that has the minimum number of edges. The best previous approximation guarantee was \( \frac{3} {2} \) . If the well known TSP \( \frac{4} {3} \) conjecture holds, then there is a \( \frac{4} {3} \) -approximation algorithm. Thus our main result gets half-way to this target.
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Cheriyan, J., Sebő, A., Szigeti, Z. (1998). An Improved Approximation Algorithm for Minimum Size 2-Edge Connected Spanning Subgraphs. In: Bixby, R.E., Boyd, E.A., Ríos-Mercado, R.Z. (eds) Integer Programming and Combinatorial Optimization. IPCO 1998. Lecture Notes in Computer Science, vol 1412. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69346-7_10
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DOI: https://doi.org/10.1007/3-540-69346-7_10
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