Introduction to algorithms
Biconnectivity approximations and graph carvings
Journal of the ACM (JACM)
Improved approximation algorithms for uniform connectivity problems
Journal of Algorithms
Approximation algorithms for finding highly connected subgraphs
Approximation algorithms for NP-hard problems
Improved approximation algorithms for biconnected subgraphs via better lower bounding techniques
SODA '93 Proceedings of the fourth annual ACM-SIAM Symposium on Discrete algorithms
Approximating Minimum-Size k-Connected Spanning Subgraphs via Matching
SIAM Journal on Computing
Improving on the 1.5-Approximation of a Smallest 2-Edge Connected Spanning Subgraph
SIAM Journal on Discrete Mathematics
SODA '03 Proceedings of the fourteenth 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 schemes for minimum 2-connected spanning subgraphs in weighted planar graphs
ESA'05 Proceedings of the 13th annual European conference on Algorithms
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This paper gives a 3/2 approximation algorithm for the smallest 3-edge connected spanning subgraph of an undirected multigraph. The previous best algorithm of Khuller and Raghavachari [8] has approximation ratio 5/3. The algorithm of Cheriyan and Thurimella [3] achieves ratio 3/2 for simple graphs. Our approach is based on the relationship between an ear decomposition of a 2-edge connected graph and 3-edge connected components, enabling us to achieve running time O(mα(m,n)).