The many names of (7, 3, 1): An exposition
Date of Publication
2006
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Defense Panel Member
Severino D. Diesto
Anita C. Ong
Rigor B. Ponsones
Michelle G. Tan
Abstract/Summary
This thesis is an exposition of the article The Many Names of (7, 3, 1) by Ezra Brown which appeared in the 2002 issue of the Mathematics Magazine, Volume 75. The thesis discusses the (7, 3, 1) design and how it serves as a common link to three branches of mathetics namely, Graph Theory, Combinatorial Designs, and Finite Geometry. In Graph Theory, a (7, 3, 10 design represents a doubly regular tournament which in turn generates Hadamard matrices. The (7, 3, 1) is a balanced incomplete (7, 7, 3, 3, 1) block design of Combinatorial Design Theory. The (7, 3, 1) design is also The Fano projective plane. Relationships existing between projective planes and complete set of orthogonal Latin squares are discussed in detail and illustrations.
Abstract Format
html
Language
English
Format
Accession Number
TU13524
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
v, 59, [12] leaves : ill.
Keywords
Graph theory; Matrices; Combinatorial designs and configurations; Finite geometries; Hadamard matrices
Recommended Citation
Guittap, A., & Hervera, H. (2006). The many names of (7, 3, 1): An exposition. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17427
