Multiple Local Alignment: Difference between revisions

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(Created page with "{{DISPLAYTITLE:Multiple Local Alignment (Local Alignment)}} == Description == Given $k$ input strings and a scoring function on pairs of letters, one is asked to find the substrings of the $k$ input strings that are most similar under the scoring function. == Related Problems == Generalizations: Local Alignment == Parameters == <pre>k: number of input strings n: length of input strings?</pre> == Table of Algorithms == Currently no algorithms in our databas...")
 
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== Parameters ==  
== Parameters ==  


<pre>k: number of input strings
k: number of input strings
n: length of input strings?</pre>
 
n: length of input strings?


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

Revision as of 12:04, 15 February 2023

Description

Given $k$ input strings and a scoring function on pairs of letters, one is asked to find the substrings of the $k$ input strings that are most similar under the scoring function.

Related Problems

Generalizations: Local Alignment

Parameters

k: number of input strings

n: length of input strings?

Table of Algorithms

Currently no algorithms in our database for the given problem.

Reductions FROM Problem

Problem Implication Year Citation Reduction
CNF-SAT if: to-time: $N^{k-\epsilon}$ for some $\epsilon > {0}$ on $k$ binary strings of length $n$ with $k$-wise scoring
then: from-time: ${2}^{(n-\epsilon')}$ for some $\epsilon' > {0}$
2014 https://link.springer.com/chapter/10.1007/978-3-662-43948-7_4 link