An efficient method for finding a minimal feedback arc set in directed graphs

@article{Park1992AnEM,
  title={An efficient method for finding a minimal feedback arc set in directed graphs},
  author={S. Park and Sheldon B. Akers},
  journal={[Proceedings] 1992 IEEE International Symposium on Circuits and Systems},
  year={1992},
  volume={4},
  pages={1863-1866 vol.4}
}
  • S. Park, S. Akers
  • Published 3 May 1992
  • Mathematics
  • [Proceedings] 1992 IEEE International Symposium on Circuits and Systems
Finding a minimum cardinality set of arcs that breaks all cycles in a directed graph is important in the study of large-scale systems with feedback. This problem is viewed as finding an ordering for the vertices in a graph such that the set of arcs from higher to lower numbered vertices becomes minimum. After partitioning the graph into strongly and bi-connected components, depth-first search traversing is performed on each component. Reordering is done so that only backward arcs become… 

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