1-sensitive (3/2)-approximate ss-shortest paths: Difference between revisions
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(Created page with "{{DISPLAYTITLE:1-sensitive (3/2)-approximate ss-shortest paths (Shortest Path (Directed Graphs))}} == Description == Approximate the single source shortest paths problem within a factor of 3/2 with a sensitivity of 1. == Related Problems == Related: General Weights, Nonnegative Weights, Nonnegative Integer Weights, Second Shortest Simple Path, st-Shortest Path, 2-sensitive (7/5)-approximate st-shortest paths, 1-sensitive decremental st-shor...") |
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== Parameters == | == Parameters == | ||
$V$: number of vertices | |||
$E$: number of edges | |||
$L$: maximum absolute value of edge cost | |||
== Table of Algorithms == | == Table of Algorithms == | ||
Latest revision as of 08:52, 10 April 2023
Description
Approximate the single source shortest paths problem within a factor of 3/2 with a sensitivity of 1.
Related Problems
Related: General Weights, Nonnegative Weights, Nonnegative Integer Weights, Second Shortest Simple Path, st-Shortest Path, 2-sensitive (7/5)-approximate st-shortest paths, 1-sensitive decremental st-shortest paths, 2-sensitive decremental st-shortest paths, Replacement Paths Problem
Parameters
$V$: number of vertices
$E$: number of edges
$L$: maximum absolute value of edge cost
Table of Algorithms
Currently no algorithms in our database for the given problem.
Reductions FROM Problem
| Problem | Implication | Year | Citation | Reduction |
|---|---|---|---|---|
| BMM | assume: BMM then: combinatorial algorithms cannot solve target with preprocessing time $O(n^{3-\epsilon})$, and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ in undirected unweighted graphs |
2017 | https://arxiv.org/pdf/1703.01638.pdf | link |