2-sensitive incremental st-reach (Vertex Reachability)

From Algorithm Wiki
Revision as of 12:04, 15 February 2023 by Admin (talk | contribs)
Jump to navigation Jump to search

Description

Given a directed graph $G=(V,E)$ and vertices $s, t \in V$, incrementally determine wheteher $t$ is reachable from $s$, with sensitivity 2, i.e. when 2 edges are added.

Related Problems

Generalizations: st-Reach

Related: #SSR, sensitive incremental #SSR, ST-Reach, constant sensitivity incremental ST-Reach, 1-sensitive incremental ss-reach, ap-reach

Parameters

n: number of vertices

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