Applications of a planar separator theorem

@article{Lipton1977ApplicationsOA,
  title={Applications of a planar separator theorem},
  author={Richard J. Lipton and Robert E. Tarjan},
  journal={18th Annual Symposium on Foundations of Computer Science (sfcs 1977)},
  year={1977},
  pages={162-170}
}
  • R. Lipton, R. Tarjan
  • Published 1 August 1980
  • Mathematics
  • 18th Annual Symposium on Foundations of Computer Science (sfcs 1977)
Any n-vertex planar graph has the property that it can be divided into components of roughly equal size by removing only O(√n) vertices. This separator theorem, in combination with a divide-and-conquer strategy, leads to many new complexity results for planar graph problems. This paper describes some of these results. 

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