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arXiv · 1303.5473

On the stretch factor of the Theta-4 graph

Luis Barba·Prosenjit Bose·Jean-Lou De Carufel·André van Renssen·Sander Verdonschot
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Abstract

In this paper we show that the θ-graph with 4 cones has constant stretch factor, i.e., there is a path between any pair of vertices in this graph whose length is at most a constant times the Euclidean distance between that pair of vertices. This is the last θ-graph for which it was not known whether its stretch factor was bounded.

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Luis Barba, Prosenjit Bose, Jean-Lou De Carufel, André van Renssen, Sander Verdonschot. 2013-03-21. On the stretch factor of the Theta-4 graph. https://arxiv.org/abs/1303.5473

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