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
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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Recommended Citation
Lao, A. R. (2004). Factorization of pretopological spaces and strong product graphs. Retrieved from https://animorepository.dlsu.edu.ph/etd_masteral/3202
