Optimal Local Routing on Delaunay Triangulations Defined by Empty Equilateral Triangles
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Publication:3451755
DOI10.1137/140988103zbMath1333.68205arXiv1409.6397OpenAlexW2963197342MaRDI QIDQ3451755
Prosenjit Bose, André van Renssen, Rolf Fagerberg, Sander Verdonschot
Publication date: 18 November 2015
Published in: SIAM Journal on Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.6397
Communication networks in operations research (90B18) Network design and communication in computer systems (68M10) Graph theory (including graph drawing) in computer science (68R10) Graph representations (geometric and intersection representations, etc.) (05C62) Online algorithms; streaming algorithms (68W27)
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Cites Work
- Unnamed Item
- A simple routing algorithm based on Schnyder coordinates
- On succinct greedy drawings of plane triangulations and 3-connected plane graphs
- Some results on greedy embeddings in metric spaces
- Searching in the plane
- Greedy drawings of triangulations
- Towards tight bounds on theta-graphs: more is not always better
- Realizability of Delaunay triangulations
- Guide to wireless mesh networks
- Classes of graphs which approximate the complete Euclidean graph
- There are planar graphs almost as good as the complete graph
- On a conjecture related to geometric routing
- On the Spanning Ratio of Theta-Graphs
- New and improved spanning ratios for Yao graphs
- Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
- Survey on Oblivious Routing Strategies
- Plane Spanners of Maximum Degree Six
- Succinct Greedy Geometric Routing in the Euclidean Plane
- Online Routing in Triangulations
- ONLINE ROUTING IN CONVEX SUBDIVISIONS
- An Algorithm to Construct Greedy Drawings of Triangulations
