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On the spanning and routing ratios of the directed \(\varTheta_6\)-graph

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Publication:832828
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DOI10.1007/978-3-030-83508-8_1OpenAlexW3188087441MaRDI QIDQ832828

Ahmad Biniaz, Prosenjit Bose, Hugo A. Akitaya

Publication date: 25 March 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-83508-8_1

zbMATH Keywords

routing algorithmsspannerstheta graphs


Mathematics Subject Classification ID

Algorithms in computer science (68Wxx) Data structures (68P05)



Uses Software

  • Algorithm 447


Cites Work

  • Unnamed Item
  • A note on two problems in connexion with graphs
  • Theta-3 is connected
  • Towards tight bounds on theta-graphs: more is not always better
  • Classes of graphs which approximate the complete Euclidean graph
  • There are planar graphs almost as good as the complete graph
  • On the Stretch Factor of the Theta-4 Graph
  • Gabriel Triangulations and Angle-Monotone Graphs: Local Routing and Recognition
  • Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
  • Geometric Spanner Networks
  • Optimal Local Routing on Delaunay Triangulations Defined by Empty Equilateral Triangles
  • Probability on Graphs
  • Online Routing in Triangulations
  • Expected Complexity of Routing in $\Theta_6$ and Half-$\Theta_6$ Graphs
  • On the Spanning and Routing Ratio of Theta-Four
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