On the Stretch Factor of the Theta-4 Graph

نویسندگان

  • Luis Barba
  • Prosenjit Bose
  • Jean-Lou De Carufel
  • André van Renssen
  • Sander Verdonschot
چکیده

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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تاریخ انتشار 2013