Modified Classical Graph Algorithms for the DNA Fragment Assembly Problem

DNA fragment assembly represents an important challenge to the development of efficient and practical algorithms due to the large number of elements to be assembled. In this study, we present some graph theoretical linear time algorithms to solve the problem. To achieve linear time complexity, a hea...

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Main Authors: Guillermo M. Mallén-Fullerton, J. Emilio Quiroz-Ibarra, Antonio Miranda, Guillermo Fernández-Anaya
Format: Article
Language:English
Published: MDPI AG 2015-09-01
Series:Algorithms
Subjects:
Online Access:http://www.mdpi.com/1999-4893/8/3/754
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author Guillermo M. Mallén-Fullerton
J. Emilio Quiroz-Ibarra
Antonio Miranda
Guillermo Fernández-Anaya
author_facet Guillermo M. Mallén-Fullerton
J. Emilio Quiroz-Ibarra
Antonio Miranda
Guillermo Fernández-Anaya
author_sort Guillermo M. Mallén-Fullerton
collection DOAJ
description DNA fragment assembly represents an important challenge to the development of efficient and practical algorithms due to the large number of elements to be assembled. In this study, we present some graph theoretical linear time algorithms to solve the problem. To achieve linear time complexity, a heap with constant time operations was developed, for the special case where the edge weights are integers and do not depend on the problem size. The experiments presented show that modified classical graph theoretical algorithms can solve the DNA fragment assembly problem efficiently.
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spelling doaj.art-2fb3977fa46242bda223fbbd45e1bae32022-12-21T20:15:53ZengMDPI AGAlgorithms1999-48932015-09-018375477310.3390/a8030754a8030754Modified Classical Graph Algorithms for the DNA Fragment Assembly ProblemGuillermo M. Mallén-Fullerton0J. Emilio Quiroz-Ibarra1Antonio Miranda2Guillermo Fernández-Anaya3Engineering Department, Universidad Iberoamericana Ciudad de México, Prolongación Paseo de la Reforma 880, Lomas de Santa Fe, Distrito Federal 01219, MexicoUniversidad Iberoamericana Ciudad de México, DCI, Prolongación Paseo de la Reforma 880, Lomas de Santa Fe, Distrito Federal 01219, MexicoPhysics and Mathematics Department, Universidad Iberoamericana Ciudad de México, Prolongación Paseo de la Reforma 880, Lomas de Santa Fe, Distrito Federal 01219, MexicoPhysics and Mathematics Department, Universidad Iberoamericana Ciudad de México, Prolongación Paseo de la Reforma 880, Lomas de Santa Fe, Distrito Federal 01219, MexicoDNA fragment assembly represents an important challenge to the development of efficient and practical algorithms due to the large number of elements to be assembled. In this study, we present some graph theoretical linear time algorithms to solve the problem. To achieve linear time complexity, a heap with constant time operations was developed, for the special case where the edge weights are integers and do not depend on the problem size. The experiments presented show that modified classical graph theoretical algorithms can solve the DNA fragment assembly problem efficiently.http://www.mdpi.com/1999-4893/8/3/754DNA fragment assemblyminimum spanning treeheaplinear complexity
spellingShingle Guillermo M. Mallén-Fullerton
J. Emilio Quiroz-Ibarra
Antonio Miranda
Guillermo Fernández-Anaya
Modified Classical Graph Algorithms for the DNA Fragment Assembly Problem
Algorithms
DNA fragment assembly
minimum spanning tree
heap
linear complexity
title Modified Classical Graph Algorithms for the DNA Fragment Assembly Problem
title_full Modified Classical Graph Algorithms for the DNA Fragment Assembly Problem
title_fullStr Modified Classical Graph Algorithms for the DNA Fragment Assembly Problem
title_full_unstemmed Modified Classical Graph Algorithms for the DNA Fragment Assembly Problem
title_short Modified Classical Graph Algorithms for the DNA Fragment Assembly Problem
title_sort modified classical graph algorithms for the dna fragment assembly problem
topic DNA fragment assembly
minimum spanning tree
heap
linear complexity
url http://www.mdpi.com/1999-4893/8/3/754
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