Minimum Triangle: 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 the triangle in a graph with minimum weight

Related Problems

Generalizations: Triangle Detection

Related: Negative Triangle Detection, Negative Triangle Search, Negative Triangle Listing, Nondecreasing Triangle, Triangle in Unweighted Graph, 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 TO Problem

Problem Implication Year Citation Reduction
Second Shortest Simple Path if: to-time: $T(n,W)$ where there are $n$ nodes and integer weights in $({0}, W)$
then: from-time: $T(O(n), O(nW))$ for $n$ node graph with integer weights in $(-W, W)$
2018 https://dl-acm-org.ezproxy.canberra.edu.au/doi/pdf/10.1145/3186893, Theorem 5.5 link