Diameter 3 vs 7 (Graph Metrics)

Description

Given a graph $G = (V, E)$, distinguish between diameter 3 and diameter 7. In other words, approximate diameter within a factor of $9/4-\epsilon$.

Related Problems

Generalizations: Approximate Diameter

Related: Median, Radius, Diameter, Diameter 2 vs 3, 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
3-OV	If: to-time: $O(N^{({3}/{2}-\epsilon)}$ where $N=n^{2} d^{2}$ and $\epsilon > {0}$ Then: from-time: $n^{3-{2}\epsilon} poly(d)$	2018	https://dl-acm-org.ezproxy.canberra.edu.au/doi/pdf/10.1145/3188745.3188950	link