Date of Publication

2004

Document Type

Master's Thesis

Degree Name

Master of Science in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Thesis Adviser

Severino D. Diesto
Eduardo R. Mendoza

Defense Panel Chair

Jose Tristan F. Reyes

Defense Panel Member

Leonor A. Ruivivar
Felix P. Muga

Abstract/Summary

The first part of the study discusses the basic concepts of the strong product of graphs including its Factorization Theorem through examples and illustrations. The second part of the paper focuses on definitions, axioms and concepts leading to the study of spaces specifically pretopological space. The third part of this research is an exposition of the state of the art theorem, Factorization of Pretopological Space. Lastly, this paper shows that any finite digraph T(X,E) representing a reflexive relation can always be associated with a finite pretopological space (X,N). Furthermore, a pretopological space (X,N) is factorizable if and only if the strong product of the associated graph is factorizable.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

CDTG003738

Shelf Location

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

Physical Description

1 computer optical disc ; 4 3/4 in.

Keywords

Factorization (Mathematics)\ Factors (Algebra); Topological spaces; Graph theory

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