On the spanning and routing ratios of the directed \(\Theta_6\)-graph
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Publication:2144459
DOI10.1016/j.comgeo.2022.101881zbMath1491.05059OpenAlexW4226118606WikidataQ114195526 ScholiaQ114195526MaRDI QIDQ2144459
Prosenjit Bose, Hugo A. Akitaya, Ahmad Biniaz
Publication date: 13 June 2022
Published in: Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.comgeo.2022.101881
Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Planar graphs; geometric and topological aspects of graph theory (05C10)
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- A note on two problems in connexion with graphs
- Theta-3 is connected
- Improved bounds on the spanning ratio of the theta-5-graph
- 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
- The \(\varTheta_5\)-graph is a spanner
- 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