Minimum Triangle (Graph Triangle Problems)

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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 vertices

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