Cyclic Peptide Sequencing Problem: Difference between revisions

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(Created page with "{{DISPLAYTITLE:Cyclic Peptide Sequencing Problem (Cyclic Peptide Sequencing Problem)}} == Description == Given an experimental $MS^3$ spectrum $S$, find a cyclic peptide $P$ maximizing the number of shared masses between $S$ and the theoretical spectrum of $P$. == Parameters == No parameters found. == Table of Algorithms == {| class="wikitable sortable" style="text-align:center;" width="100%" ! Name !! Year !! Time !! Space !! Approximation Factor !! Model !! R...")
 
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== Time Complexity graph ==  
== Time Complexity Graph ==  


[[File:Cyclic Peptide Sequencing Problem - Time.png|1000px]]
[[File:Cyclic Peptide Sequencing Problem - Time.png|1000px]]


== Space Complexity graph ==  
== Space Complexity Graph ==  


[[File:Cyclic Peptide Sequencing Problem - Space.png|1000px]]
[[File:Cyclic Peptide Sequencing Problem - Space.png|1000px]]


== Pareto Decades graph ==  
== Pareto Frontier Improvements Graph ==  


[[File:Cyclic Peptide Sequencing Problem - Pareto Frontier.png|1000px]]
[[File:Cyclic Peptide Sequencing Problem - Pareto Frontier.png|1000px]]

Revision as of 13:05, 15 February 2023

Description

Given an experimental $MS^3$ spectrum $S$, find a cyclic peptide $P$ maximizing the number of shared masses between $S$ and the theoretical spectrum of $P$.

Parameters

No parameters found.

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Brute force 1987 ${2}^{O(n)}$ $O(n)$? Exact Deterministic
Branch and bound 1993 ${2}^{O(n)}$ $O({2}^{O(n)})$? Exact Deterministic

Time Complexity Graph

Cyclic Peptide Sequencing Problem - Time.png

Space Complexity Graph

Cyclic Peptide Sequencing Problem - Space.png

Pareto Frontier Improvements Graph

Cyclic Peptide Sequencing Problem - Pareto Frontier.png