Spanner Approximations in Practice

Markus Chimani; Finn Stutzenstein

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arXiv · 2107.02018

Spanner Approximations in Practice

Markus Chimani·Finn Stutzenstein

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Abstract

A multiplicative $\alpha$-spanner $H$ is a subgraph of $G=(V,E)$ with the same vertices and fewer edges that preserves distances up to the factor $\alpha$, i.e., $d_H(u,v)\leq\alpha\cdot d_G(u,v)$ for all vertices $u$, $v$. While many algorithms have been developed to find good spanners in terms of approximation guarantees, no experimental studies comparing different approaches exist. We implemented a rich selection of those algorithms and evaluate them on a variety of instances regarding, e.g., their running time, sparseness, lightness, and effective stretch.

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Markus Chimani, Finn Stutzenstein. 2021-07-05. Spanner Approximations in Practice. https://arxiv.org/abs/2107.02018

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