Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
2
pubmed:dateCreated
2008-7-23
pubmed:abstractText
For the first time, we study the sorting of permutations by length-weighted transpositions under a wide class of cost functions, namely f(l)=l(alpha), where l is the length of the transposition. For different alpha, we give corresponding upper and lower bounds of the cost of sorting any binary sequences or any permutations. Furthermore, an O(log n)-approximation algorithm and an exact algorithm are given to determine the optimal transposition series of sorting a permutation of length n when 1< alpha < 2 and alpha > or =2 respectively. Our work poses some interesting questions to both biologists and computer scientists and suggests some new bioinformatic insights that are currently being studied.
pubmed:language
eng
pubmed:journal
pubmed:citationSubset
IM
pubmed:status
MEDLINE
pubmed:issn
1744-5485
pubmed:author
pubmed:issnType
Print
pubmed:volume
4
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
164-71
pubmed:meshHeading
pubmed:year
2008
pubmed:articleTitle
Sorting by transpositions: dealing with length-weighted models.
pubmed:affiliation
Department of Applied Mathematics, Shandong University at Weihai, Weihai, China. qixingqin@163.com
pubmed:publicationType
Journal Article, Research Support, Non-U.S. Gov't