SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
A 5/4-approximation algorithm for minimum 2-edge-connectivity
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Approximation algorithms for the minimum cardinality two-connected spanning subgraph problem
IPCO'05 Proceedings of the 11th international conference on Integer Programming and Combinatorial Optimization
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We give a $\frac{17}{12}$-approximation algorithm for the following NP-hard problem: Given a simple undirected graph, find a 2-edge connected spanning subgraph that has the minimum number of edges. The best previous approximation guarantee was $\frac{3}{2}$. If the well-known $\frac{4}{3}$ conjecture for the metric traveling salesman problem holds, then the optimal value (minimum number of edges) is at most $\frac{4}{3}$ times the optimal value of a linear programming relaxation. Thus our main result gets halfway to this target.