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Improved Spanning Ratio for Low Degree Plane Spanners

Abstract

We describe an algorithm that builds a plane spanner with a maximum degree of 8 and a spanning ratio of \({\approx }4.414\) with respect to the complete graph. This is the best currently known spanning ratio for a plane spanner with a maximum degree of less than 14.

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Author information

Correspondence to Darryl Hill.

Additional information

This work was partially supported by the Natural Sciences and Engineering Research Council of Cananda (NSERC) and by the Ontario Graduate Scholarship (OGS).

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Bose, P., Hill, D. & Smid, M. Improved Spanning Ratio for Low Degree Plane Spanners. Algorithmica 80, 935–976 (2018). https://doi.org/10.1007/s00453-017-0305-5

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Keywords

  • Computational geometry
  • Graphs
  • Graph theory
  • Plane
  • Spanners
  • Spanning graph
  • Spanning ratio
  • Degree
  • Bounded degree