Strong Connectivity (dynamic) (Strongly Connected Components)

From Algorithm Wiki
Revision as of 10:19, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Strong Connectivity (dynamic) (Strongly Connected Components)}} == Description == maintain: a directed graph, under edge insertions/deletions, answer: is the graph strongly connected? == Related Problems == Related: Strongly Connected Components, Transitive Closure, Maximum Strongly Connected Component, 2 Strong Components (dynamic), Connected Subgraph == Parameters == No parameters found. == Table of Algorithms == Currently...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Description

maintain: a directed graph, under edge insertions/deletions, answer: is the graph strongly connected?

Related Problems

Related: Strongly Connected Components, Transitive Closure, Maximum Strongly Connected Component, 2 Strong Components (dynamic), Connected Subgraph

Parameters

No parameters found.

Table of Algorithms

Currently no algorithms in our database for the given problem.

Reductions FROM Problem

Problem Implication Year Citation Reduction
Triangle Detection let $\gamma = (w-{1})/(w+{1}) \in ({1}/{3},{0.408})$
if: to-time: $O(m^{2\gamma-\epsilon})$ update and query times even after O(m^{1+\gamma-\epsilon}) preprocessing time for any $\epsilon > {0}$
then: Strong Triangle is false
2014 https://ieeexplore-ieee-org.ezproxy.canberra.edu.au/abstract/document/6979028?casa_token=daaoBjrHUa4AAAAA:DCjk_WMWZ5Is6KvGpmS8a2bL9LskvV0P1zEG4U2u-Tm_C8sixu1w65OpTyjml1HEpaikXhtYsg link