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A Simple Algorithm for Computing a Cycle Separator

Computational Geometry 2018-01-19 v2 Discrete Mathematics

Abstract

We present a linear time algorithm for computing a cycle separator in a planar graph that is (arguably) simpler than previously known algorithms. Our algorithm builds on, and is somewhat similar to, previous algorithms for computing separators. The main new ingredient is a specific layered decomposition of the planar graph constructed differently from previous BFS-based layerings.

Keywords

Cite

@article{arxiv.1709.08122,
  title  = {A Simple Algorithm for Computing a Cycle Separator},
  author = {Sariel Har-Peled and Amir Nayyeri},
  journal= {arXiv preprint arXiv:1709.08122},
  year   = {2018}
}