Applications of a planar separator theorem

  • Authors:
  • Richard J. Lipton;Robert Endre Tarjan

  • Affiliations:
  • -;-

  • Venue:
  • SFCS '77 Proceedings of the 18th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1977

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Abstract

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.