# Distributed Distance Approximation

@article{Ancona2020DistributedDA, title={Distributed Distance Approximation}, author={Bertie Ancona and Keren Censor-Hillel and Mina Dalirrooyfard and Yuval Efron and Virginia Vassilevska Williams}, journal={ArXiv}, year={2020}, volume={abs/2011.05066} }

Diameter, radius and eccentricities are fundamental graph parameters, which are extensively studied in various computational settings. Typically, computing approximate answers can be much more efficient compared with computing exact solutions. In this paper, we give a near complete characterization of the trade-offs between approximation ratios and round complexity of distributed algorithms for approximating these parameters, with a focus on the weighted and directed variants.
Furthermore, we… Expand

#### 4 Citations

Improved Hardness of Approximation of Diameter in the CONGEST Model

- Computer Science, Mathematics
- DISC
- 2020

Lower bounds for (2/3 + )-approximation are shown, which imply that any algorithm for returning an estimate 2/3D ≤ D̃ ≤ D requires Ω̃(n) rounds. Expand

Distance Computations in the Hybrid Network Model via Oracle Simulations

- Computer Science
- STACS
- 2021

This work presents a density-aware approach that allows us to simulate a set of oracle simulations for an overlay skeleton graph over a Hybrid network, and derives fast algorithms for fundamental distance-related tasks. Expand

On Sparsity Awareness in Distributed Computations

- Computer Science
- SPAA
- 2021

This work establishes a new framework by developing an intermediate auxiliary model which is weak enough to be successfully simulated in the classic congest model given low mixing time, and proves that despite imposing harsh restrictions, this artificial model allows balancing massive data transfers with a maximal utilization of bandwidth. Expand

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