Connectivity Oracles for Planar Graphs

@inproceedings{Borradaile2012ConnectivityOF,
  title={Connectivity Oracles for Planar Graphs},
  author={Glencora Borradaile and Seth Pettie and Christian Wulff-Nilsen},
  booktitle={SWAT},
  year={2012}
}
  • Glencora Borradaile, Seth Pettie, Christian Wulff-Nilsen
  • Published in SWAT 2012
  • Computer Science, Mathematics
  • We consider dynamic subgraph connectivity problems for planar undirected graphs. In this model there is a fixed underlying planar graph, where each edge and vertex is either "off" (failed) or "on" (recovered). We wish to answer connectivity queries with respect to the "on" subgraph. The model has two natural variants, one in which there are d edge/vertex failures that precede all connectivity queries, and one in which failures/recoveries and queries are intermixed. We present a d-failure… CONTINUE READING
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