A TDI system and its application to approximation algorithms

@article{Cai1998ATS,
  title={A TDI system and its application to approximation algorithms},
  author={Mao-cheng Cai and Xiaotie Deng and Wenan Zang},
  journal={Proceedings 39th Annual Symposium on Foundations of Computer Science (Cat. No.98CB36280)},
  year={1998},
  pages={227-231}
}
We obtain a necessary and sufficient condition for tournaments to possess a min-max relation on packing and covering directed cycles, together with strongly polynomial time algorithms for the feedback vertex set problem and the cycle packing problem in this class of tournaments; the condition and the algorithms are all based on a totally dual integral (TDI) system, a theoretical framework introduced by J. Edmonds and R. Giles (1994) for establishing min-max results. As a consequence, we find a… CONTINUE READING

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