Triangle in Unweighted Graph: Difference between revisions

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(Created page with "{{DISPLAYTITLE:Triangle in Unweighted Graph (Graph Triangle Problems)}} == Description == Find a triangle in an unweighted graph == Related Problems == Generalizations: Triangle Detection Related: Negative Triangle Detection, Negative Triangle Search, Negative Triangle Listing, Nondecreasing Triangle, Minimum Triangle, Triangle Collection* == Parameters == <pre>n: number of vertices m: number of edges</pre> == Table of Algorithms ==...")
 
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== Parameters ==  
== Parameters ==  


<pre>n: number of vertices
n: number of vertices
m: number of edges</pre>
 
m: number of edges


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

Revision as of 13:04, 15 February 2023

Description

Find a triangle in an unweighted graph

Related Problems

Generalizations: Triangle Detection

Related: Negative Triangle Detection, Negative Triangle Search, Negative Triangle Listing, Nondecreasing Triangle, Minimum Triangle, Triangle Collection*

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
Nondecreasing Triangle if: to-time: $T(n)$ for unweighted graph
then: from-time: $O(n^{3/2} \sqrt{T(O(n))})$
2018 https://dl-acm-org.ezproxy.canberra.edu.au/doi/pdf/10.1145/3186893, Theorem 7.1 link
$(\min, \leq)$ Product if: to-time: $T(n)$ for unweighted graph
then: from-time: $O(n^{3/2} \sqrt{T(O(n))} \log n)$
2018 https://dl-acm-org.ezproxy.canberra.edu.au/doi/pdf/10.1145/3186893, Theorem 7.1 link