1-sensitive (4/3)-approximate decremental eccentricity (Graph Metrics)

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Description

Approximate the eccentricity of a graph decrementally within a factor of 4/3, with a sensativity of 1, i.e. when a single edge is removed.

Related Problems

Generalizations: Eccentricity

Related: Median, Radius, Diameter, Diameter 2 vs 3, Diameter 3 vs 7, Approximate Diameter, Decremental Diameter, 1-sensitive (4/3)-approximate decremental diameter, 1-sensitive decremental diameter, constant sensitivity (4/3)-approximate incremental diameter

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
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 $\epsilon > {0}$
2017 https://arxiv.org/pdf/1703.01638.pdf link