A1 Refereed original research article in a scientific journal

Graph theoretic approach to parallel gene assembly




AuthorsHarju T, Li C, Petre I

PublisherELSEVIER SCIENCE BV

Publication year2008

Journal:Discrete Applied Mathematics

Journal name in sourceDISCRETE APPLIED MATHEMATICS

Journal acronymDISCRETE APPL MATH

Volume156

Issue18

First page 3416

Last page3429

Number of pages14

ISSN0166-218X

DOIhttps://doi.org/10.1016/j.dam.2008.01.022


Abstract
We study parallel complexity of signed graphs motivated by the highly complex genetic recombination processes in ciliates. The molecular gene assembly operations have been modeled by operations of signed graphs, i.e., graphs where the vertices have a sign + or - In the optimization problem for signed graphs one wishes to find the parallel complexity by which the graphs call be reduced to the empty graph. We relate parallel complexity to matchings in graphs for some natural graph classes, especially bipartite graphs. It is shown, for instance, that a bipartite graph G has parallel complexity one if and only if G has a unique perfect matching. We also formulate some open problems of this research topic. (C) 2008 Elsevier B.V. All rights reserved.


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