The Perron-Frobenius theorem and its application to the Games of the Generals
Date of Publication
2007
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Defense Panel Chair
Edmundo D. Perez, Jr.
Defense Panel Member
Christopher Sze
Anita C. Ong
Abstract/Summary
This thesis is an exposition of a beautiful, but often neglected, theorem in Linear Algebra called The Perro-Frobenius Theorem. It was Appendix D of the Lecture Notes of Peter J. Cameron on Linear Algebra (2006) which called the attention of the writers of this thesis to the theorem of Perron and Frobenius. Appendix D of Cameron's lecture notes, entitled Who's on top of the league? , discusses the application of the Perron-Frobenius Theorem to the ranking of football teams. The writers of this thesis found that the Perron-Frobenius Theorem can be used to find the ranking of the officials in the Games of the Generals (GG), a board game that was invented in the Philippines by Sofronio H. Pasola, Jr. in 1972. It was found that, contrary to perception, the Private is not the lowest ranking official in GG. In fact, the Private ranks higher than six other officials!
Abstract Format
html
Language
English
Format
Accession Number
TU14205
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
vi, 103 leaves : ill.
Keywords
Algebras, Linear; Board games
Recommended Citation
Esguerra, J. T., & Manlapig, M. C. (2007). The Perron-Frobenius theorem and its application to the Games of the Generals. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17465
