Transitive Closure: Difference between revisions

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== Parameters ==  
== Parameters ==  


V: number of vertices
$V$: number of vertices


E: number of edges
$E$: number of edges


== Table of Algorithms ==  
== Table of Algorithms ==  

Revision as of 08:19, 10 April 2023

Description

In this problem, we also want to compute the transitive closure of a graph. (Perhaps this should be a separate problem?)

Related Problems

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

Parameters

$V$: number of vertices

$E$: number of edges

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Paul Purdom 1970 $O(V^{2}+VE)$ $O(V^{2})$ Exact Deterministic Time & Space

Time Complexity Graph

Strongly Connected Components - Transitive Closure - Time.png

Space Complexity Graph

Strongly Connected Components - Transitive Closure - Space.png

Time-Space Tradeoff

Strongly Connected Components - Transitive Closure - Pareto Frontier.png