1-sensitive (3/2)-approximate ss-shortest paths (Shortest Path (Directed Graphs))
Revision as of 10:19, 15 February 2023 by Admin (talk | contribs) (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...")
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
No parameters found.
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 |