# Dynamic Approximate Shortest Paths and Beyond: Subquadratic and Worst-Case Update Time

@article{Brand2019DynamicAS,
title={Dynamic Approximate Shortest Paths and Beyond: Subquadratic and Worst-Case Update Time},
author={Jan van den Brand and Danupon Nanongkai},
journal={2019 IEEE 60th Annual Symposium on Foundations of Computer Science (FOCS)},
year={2019},
pages={436-455}
}
• Published 24 September 2019
• Computer Science, Mathematics
• 2019 IEEE 60th Annual Symposium on Foundations of Computer Science (FOCS)
Consider the following distance query for an n-node graph G undergoing edge insertions and deletions: given two sets of nodes I and J, return the distances between every pair of nodes in I × J. %It generalizes several versions of the dynamic shortest paths problem such as Single-Source and All-Pairs Shortest Paths (SSSP and APSP). This query is rather general and captures several versions of the dynamic shortest paths problem. In this paper, we develop an efficient (1 + ε) -approximation… Expand
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