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Applications of a Planar Separator Theorem

SIAM Journal on ComputingPublished 1 August 1980
Richard J. Lipton, Robert E. Tarjan
Citations640
SJR quartileQ1
SJR score1.40
SNIP1.55

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.

Keywords

Computer Science