Recombination induced hypergraphs and the asymmetry of configuration space induced by unequal crossover

Date of Publication

2009

Document Type

Master's Thesis

Degree Name

Master of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

Two principal sources of variation are usually accounted for in evolution: mutation and recombination. Because of the inherent differences of these two concepts it is assumed that they are qualitatively two different ways of exploring the genotype space. A method of constructing recombination spaces is developed, along with its topological features (specifically the concept of neighborhood). The resulting Hypergraph is then analyzed and it is demonstrated that there exists a case where an isomorphism exists between the recombination space and the point mutation space. It is explored further- more that there exists a process where no genetic configuration space closure exits. This is the process of gene duplication by means of unequal crossover. The impact of this more recent finding is then applied to all the observations explored in constructing the recombination spaces.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

CDTG004631

Shelf Location

Archives, The Learning Commons, 12F Henry Sy Sr. Hall

Physical Description

1 computer optical disc ; 4 3/4 in.

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