BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-77-628 ENTRY:: June 28, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Applications of a planar separator theorem TYPE:: Technical Report AUTHOR:: Lipton, Richard J. AUTHOR:: Tarjan, Robert Endre DATE:: October 1977 PAGES:: 36 ABSTRACT:: Any n-vertex planar graph has the property that it can be divided into components of roughly equal size by removing only O($\sqrt{n}$) 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. NOTES:: [Adminitrivia V1/Prg/19950628] END:: STAN//CS-TR-77-628