Cyclic Peptide Sequencing Problem: Difference between revisions

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== Parameters ==  
== Parameters ==  


No parameters found.
$n$: size of peptide, in daltons
 
$m$: number of elements in experimental spectrum


== Table of Algorithms ==  
== Table of Algorithms ==  
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| [[Brute force (Cyclic Peptide Sequencing Problem Cyclic Peptide Sequencing Problem)|Brute force]] || 1987 || ${2}^{O(n)}$ || $O(n)$? || Exact || Deterministic ||   
| [[Brute force (Cyclic Peptide Sequencing Problem Cyclic Peptide Sequencing Problem)|Brute force]] || 1987 || ${2}^{O(n)}$ || $O(n)$ || Exact || Deterministic ||   
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| [[Branch and bound (Cyclic Peptide Sequencing Problem Cyclic Peptide Sequencing Problem)|Branch and bound]] || 1993 || ${2}^{O(n)}$ || $O({2}^{O(n)})$? || Exact || Deterministic ||   
| [[Branch and bound (Cyclic Peptide Sequencing Problem Cyclic Peptide Sequencing Problem)|Branch and bound]] || 1993 || ${2}^{O(n)}$ || $O({2}^{O(n)})$ || Exact || Deterministic ||   
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|-
|}
|}
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[[File:Cyclic Peptide Sequencing Problem - Time.png|1000px]]
[[File:Cyclic Peptide Sequencing Problem - Time.png|1000px]]
== Space Complexity Graph ==
[[File:Cyclic Peptide Sequencing Problem - Space.png|1000px]]
== Time-Space Tradeoff ==
[[File:Cyclic Peptide Sequencing Problem - Pareto Frontier.png|1000px]]

Latest revision as of 09:11, 28 April 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

$n$: size of peptide, in daltons

$m$: number of elements in experimental spectrum

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