The Stretch - Length Tradeoff in Geometric Networks: Average Case and Worst Case Study
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Publication:5360331
DOI10.1017/S0305004115000250zbMath1371.60085arXiv1404.2653OpenAlexW2962785303MaRDI QIDQ5360331
Publication date: 28 September 2017
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.2653
Geometric probability and stochastic geometry (60D05) Deterministic network models in operations research (90B10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
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- Towards tight bounds on theta-graphs: more is not always better
- Connected spatial networks over random points and a route-length statistic
- On Steiner trees for bounded point sets
- Classes of graphs which approximate the complete Euclidean graph
- Probability theory of classical Euclidean optimization problems
- Average stretch factor: how low does it go?
- On the homogeneous planar Poisson point process
- Scale-invariant random spatial networks
- On the Spanning Ratio of Theta-Graphs
- Geometric Spanner Networks
- On Constructing Minimum Spanning Trees in k-Dimensional Spaces and Related Problems
- On the Average Number of Edges in Theta Graphs
- Short-length routes in low-cost networks via Poisson line patterns