Nondecreasing Triangle: Difference between revisions
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(Created page with "{{DISPLAYTITLE:Nondecreasing Triangle (Graph Triangle Problems)}} == Description == Given a tripartite graph with partitions $I, J, K$ and real edge weights, find a triangle $i \in I, j \in J, k \in K$ such that $w(i, k) \leq w(k, j) \leq w(i, j)$. == Related Problems == Generalizations: Triangle Detection Related: Negative Triangle Detection, Negative Triangle Search, Negative Triangle Listing, Minimum Triangle, Triangle in Unweighted Graph...") |
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== Parameters == | == Parameters == | ||
$n$: number of nodes | |||
m: number of edges | |||
$m$: number of edges | |||
== Table of Algorithms == | == Table of Algorithms == | ||
Latest revision as of 08:27, 10 April 2023
Description
Given a tripartite graph with partitions $I, J, K$ and real edge weights, find a triangle $i \in I, j \in J, k \in K$ such that $w(i, k) \leq w(k, j) \leq w(i, j)$.
Related Problems
Generalizations: Triangle Detection
Related: Negative Triangle Detection, Negative Triangle Search, Negative Triangle Listing, Minimum 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 |
|---|---|---|---|---|
| Triangle in Unweighted Graph | 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 |