Triangle in Unweighted Graph: Difference between revisions

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== Parameters ==  
== Parameters ==  


n: number of vertices
$n$: number of nodes


m: number of edges
$m$: number of edges


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

Latest revision as of 09:27, 10 April 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 nodes

$m$: 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