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Faster Approximate All Pairs Shortest Paths
The all pairs shortest path problem (APSP) is one of the foundational problems in computer
science. For weighted dense graphs on n vertices, no truly sub-cubic algorithms exist to …
science. For weighted dense graphs on n vertices, no truly sub-cubic algorithms exist to …
A Sublinear Algorithm for Approximate Shortest Paths in Large Networks
S Basu, N Kōshima, T Eden, O Ben-Eliezer… - arxiv preprint arxiv …, 2024 - arxiv.org
Computing distances and finding shortest paths in massive real-world networks is a
fundamental algorithmic task in network analysis. There are two main approaches to solving …
fundamental algorithmic task in network analysis. There are two main approaches to solving …
New tradeoffs for decremental approximate all-pairs shortest paths
We provide new tradeoffs between approximation and running time for the decremental all-
pairs shortest paths (APSP) problem. For undirected graphs with $ m $ edges and $ n …
pairs shortest paths (APSP) problem. For undirected graphs with $ m $ edges and $ n …
Computing Oriented Spanners and their Dilation
Given a point set $ P $ in a metric space and a real number $ t\geq 1$, an\emph {oriented $ t
$-spanner} is an oriented graph $\overrightarrow {G}=(P,\overrightarrow {E}) $, where for …
$-spanner} is an oriented graph $\overrightarrow {G}=(P,\overrightarrow {E}) $, where for …