Improved Spanning Ratio for Low Degree Plane Spanners
Prosenjit Bose, Darryl Hill, and Michiel Smid
TL;DR
This paper presents an algorithm for constructing a plane spanner with maximum degree 8 and a spanning ratio of about 4.414, improving the known bounds for low-degree plane spanners.
Contribution
It introduces a new algorithm that achieves the best known spanning ratio for plane spanners with maximum degree less than 14.
Findings
Maximum degree of 8 in the constructed spanner
Spanning ratio of approximately 4.414
Best known ratio for degree <14
Abstract
We describe an algorithm that builds a plane spanner with a maximum degree of 8 and a spanning ratio of approximately 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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Surface Polishing Techniques · Computational Geometry and Mesh Generation