Improved Spanning on Theta-5

Abstract

We show an upper bound of (3π10) (2π5)-(3π10) <5.70 on the spanning ratio of 5-graphs, improving on the previous best known upper bound of 9.96 [Bose, Morin, van Renssen, and Verdonschot. The Theta-5-graph is a spanner. Computational Geometry, 2015.]

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