A New Model of Genetic Algorithm Using a Bipartite Graph and the Action of Largest Subgroup of Dihedral Group Dn on Invariance Markov Basis, n is a Multiple of 6
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | Iraq | Volume 3 Issue 12, December 2014 | Popularity: 6.3 / 10


     

A New Model of Genetic Algorithm Using a Bipartite Graph and the Action of Largest Subgroup of Dihedral Group Dn on Invariance Markov Basis, n is a Multiple of 6

Husein Hadi Abbass, Hussein Salman Mohammed Hussein


Abstract: In this paper, we introduce a new model of genetic algorithm that permutes the pieces of nucleotides in aligned DNA sequences using a bipartite graph and the action of largest subgroup H of dihedral Group D_n, n is multiple of 6 on (n^2-3n) /33n/3 - contingency tables with fixed two dimensional marginals and their Markov basis n such that B is H-invariant,. Where n is the Markov basis found by H. H. Abbass and H. S. Mohammed Hussein in [7].


Keywords: Computational algebraic statistics, sufficient statistics, bipartite graph, dihedral group, Markov basis


Edition: Volume 3 Issue 12, December 2014


Pages: 542 - 554



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Husein Hadi Abbass, Hussein Salman Mohammed Hussein, "A New Model of Genetic Algorithm Using a Bipartite Graph and the Action of Largest Subgroup of Dihedral Group Dn on Invariance Markov Basis, n is a Multiple of 6", International Journal of Science and Research (IJSR), Volume 3 Issue 12, December 2014, pp. 542-554, https://www.ijsr.net/getabstract.php?paperid=OCT14464, DOI: https://www.doi.org/10.21275/OCT14464

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