• Corpus ID: 5387266

Faster Algorithms for Online Topological Ordering

@article{Kavitha2007FasterAF,
  title={Faster Algorithms for Online Topological Ordering},
  author={Telikepalli Kavitha and Rogers Mathew},
  journal={ArXiv},
  year={2007},
  volume={abs/0711.0251}
}
We present two algorithms for maintaining the topological order of a directed acyclic graph with n vertices, under an online edge insertion sequence of m edges. Efficient algorithms for online topological ordering have many applications, including online cycle detection, which is to discover the first edge that introduces a cycle under an arbitrary sequence of edge insertions in a directed graph. In this paper we present efficient algorithms for the online topological ordering problem. We… 
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