Approximating the Minimum Equivalent Digraph
SIAM Journal on Computing
On strongly connected digraphs with bounded cycle length
Discrete Applied Mathematics
Approximation algorithms for finding highly connected subgraphs
Approximation algorithms for NP-hard problems
Approximating the minimum strongly connected subgraph via a matching lower bound
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
A rounding by sampling approach to the minimum size k-arc connected subgraph problem
ICALP'12 Proceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part I
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A linear time 5/3-approximation algorithm is presented for the NP-hard problem of finding a minimum strongly-connected spanning subgraph. It is based on cycle contraction that was first introduced by Khuller, Raghavachari and Young [SIAM J. Comput. 24 (1995) 859-872]. We improve their result by contracting special cycles and utilizing a more efficient data structure.