Master'sOpen Access

Graphical designs

2007
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Advisor: Prof. Dr. Hülya Bayrak

Abstract (EN)

Graphical t-designs are a part of combinatorial designs and the most important structures in design theory. These designs are important to minimize construction cost in statistical experiments. It?s too difficult to construct graphical t-designs with large t value, therefore computer programmes are used. The terminology used is closer to mainstream in mathematics in graphical t-designs. In this study, graphical t-designs and varieties of them are introduced. Interrelation among them, geometrical properties and the structures related to graphical t-designs are analysed. Some samples are given so that the subject can be understood. Furthermore, connections are set between graphical t-designs and finite affine and projective geometries. Some t-designs are represented by using these geometries.

Author

Dr. Aylin Karabacak

How to Cite

Aylin Karabacak (Master Thesis). Graphical designs, 2007, Gazi University.

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