A Simple Proof of the Existence of a Planar Separator

Details A Simple Proof of the Existence of a Planar Separator A Simple Proof of the Existence of a Planar Separator

2011-04-30

arxiv.org/abs/1105.0103v4

Computer Science

Computational Geometry

Scientific paper

We present a simple proof of the planar separator theorem [STP79]. The main ingredients of the proof are present in earlier work on this problem; see Chan [Cha03], Smith and Wormald [SW98], and [MTT97]. Furthermore, the constants in the separator we get are inferior to known constructions [AST94]. Nevertheless, the new proof is relatively self contained and (arguably) simpler than previous proofs.

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