Space-Efficient Path-Reporting Approximate Distance Oracles
Data Structures and Algorithms
2014-10-06 v1
Abstract
We consider approximate {\em path-reporting} distance oracles, distance labeling and labeled routing with extremely low space requirement, for general undirected graphs. For distance oracles, we show how to break the n\log n space bound of Thorup and Zwick if approximate {\em paths} rather than distances need to be reported. For approximate distance labeling and labeled routing, we break the previously best known space bound of O(log n) words per vertex. The cost for such space efficiency is an increased stretch.
Cite
@article{arxiv.1410.0768,
title = {Space-Efficient Path-Reporting Approximate Distance Oracles},
author = {Michael Elkin and Ofer Neiman and Christian Wulff-Nilsen},
journal= {arXiv preprint arXiv:1410.0768},
year = {2014}
}