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Improved Spanning Ratio for Low Degree Plane Spanners

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LATIN 2016: Theoretical Informatics (LATIN 2016)

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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.

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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Correspondence to Darryl Hill .

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Bose, P., Hill, D., Smid, M. (2016). Improved Spanning Ratio for Low Degree Plane Spanners. In: Kranakis, E., Navarro, G., Chávez, E. (eds) LATIN 2016: Theoretical Informatics. LATIN 2016. Lecture Notes in Computer Science(), vol 9644. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49529-2_19

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  • DOI: https://doi.org/10.1007/978-3-662-49529-2_19

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  • Print ISBN: 978-3-662-49528-5

  • Online ISBN: 978-3-662-49529-2

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