Approximate Diameter (Graph Metrics)
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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.ezproxy.canberra.edu.au/virgi/diam.pdf | link |