# RNA Folding (RNA Folding)

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## Description

In RNA Folding we are given a string over some alphabet (e.g. $\{A, C, G, T\}$) with a fixed pairing between its symbols (e.g. $A − T$ match and $C − G$ match), and the goal is to compute the maximum number of non-crossing arcs between matching letters that one can draw above the string (which corresponds to the minimum energy folding in two dimensions).

## Parameters

$n$: length of the given string

## Table of Algorithms

Currently no algorithms in our database for the given problem.

## Reductions FROM Problem

Problem | Implication | Year | Citation | Reduction |
---|---|---|---|---|

k-Clique | assume: k-Clique Hypothesis then: there is no $O(N^{\omega-\epsilon}) time algorithm for target for any $\epsilon > {0}$ |
2017 | https://ieeexplore.ieee.org/abstract/document/8104058 | link |

k-Clique | assume: k-Clique Hypothesis then: there is no $O(N^{\{3}-\epsilon}) time combinatorial algorithm for target for any $\epsilon > {0}$ |
2017 | https://ieeexplore.ieee.org/abstract/document/8104058 | link |