Transitive Closure: Difference between revisions

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(Created page with "{{DISPLAYTITLE:Transitive Closure (Strongly Connected Components)}} == 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 == <pre>V: number of vertices E: number of e...")
 
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== Parameters ==  
== Parameters ==  


<pre>V: number of vertices
$V$: number of vertices
E: number of edges</pre>
 
$E$: number of edges


== Table of Algorithms ==  
== Table of Algorithms ==  
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== Time Complexity graph ==  
== Time Complexity Graph ==  


[[File:Strongly Connected Components - Transitive Closure - Time.png|1000px]]
[[File:Strongly Connected Components - Transitive Closure - Time.png|1000px]]
== Space Complexity graph ==
[[File:Strongly Connected Components - Transitive Closure - Space.png|1000px]]
== Pareto Decades graph ==
[[File:Strongly Connected Components - Transitive Closure - Pareto Frontier.png|1000px]]

Latest revision as of 10:06, 28 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