1-sensitive decremental diameter (Graph Metrics)
Revision as of 10:28, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:1-sensitive decremental diameter (Graph Metrics)}} == Description == Determine the diameter of a graph decrementally, with a sensativity of 1, i.e. when a single edge is removed. == Related Problems == Generalizations: Decremental Diameter Subproblem: 1-sensitive (4/3)-approximate decremental diameter Related: Median, Radius, Diameter, Diameter 2 vs 3, Diameter 3 vs 7, Approximate Diameter, constant sensitivity (4/3...")
Description
Determine the diameter of a graph decrementally, with a sensativity of 1, i.e. when a single edge is removed.
Related Problems
Generalizations: Decremental Diameter
Subproblem: 1-sensitive (4/3)-approximate decremental diameter
Related: Median, Radius, Diameter, Diameter 2 vs 3, Diameter 3 vs 7, Approximate 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 |
|---|---|---|---|---|
| Directed, Weighted APSP | assume: APSP Hypothesis then: target cannot be solved with preprocessing time $O(n^{3-\epsilon})$ and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ in undirected weighted graphs |
2017 | https://arxiv.org/pdf/1703.01638.pdf | link |