Approximate Diameter (Graph Metrics)
Revision as of 10:28, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Approximate Diameter (Graph Metrics)}} == Description == Given a graph $G = (V, E)$, approximate the diameter within a given factor. == Related Problems == Generalizations: Diameter Subproblem: Diameter 2 vs 3, Diameter 3 vs 7 Related: Median, Radius, Diameter 3 vs 7, Decremental Diameter, 1-sensitive (4/3)-approximate decremental diameter, 1-sensitive decremental diameter, constant sensitivity (4/3)-approximat...")
Description
Given a graph $G = (V, E)$, approximate the diameter within a given factor.
Related Problems
Generalizations: Diameter
Subproblem: Diameter 2 vs 3, Diameter 3 vs 7
Related: Median, Radius, Diameter 3 vs 7, Decremental Diameter, 1-sensitive (4/3)-approximate decremental diameter, 1-sensitive decremental diameter, constant sensitivity (4/3)-approximate incremental diameter, 1-sensitive (4/3)-approximate decremental eccentricity
Parameters
n: number of nodes m: number of edges
Table of Algorithms
Currently no algorithms in our database for the given problem.
Reductions FROM Problem
| Problem | Implication | Year | Citation | Reduction |
|---|---|---|---|---|
| CNF-SAT | if: to-time: $O(m^{2-\epsilon})$ for some $\epsilon > {0}$ for a $({3}/{2} - \epsilon)$-approximation then: from-time: $O*(({2}-\delta)^n)$ for constant $\delta > {0}$ |
2013 | https://people.csail.mit.edu/virgi/diam.pdf | link |