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Research Paper | Mathematics | Iraq | Volume 3 Issue 12, December 2014 | Popularity: 6.1 / 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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