Groups, g-graphs, and consumer theory

dc.contributor.advisorDesierto, Desiree
dc.contributor.authorRaymundo, Gregorio Abaya III
dc.date.accessioned2025-02-05T07:16:14Z
dc.date.available2025-02-05T07:16:14Z
dc.date.issued2010-03
dc.description.abstractThis paper has two goals. First, this paper will establish another link between group theory and graph theory. We will investigate new graphs associated with groups: the G-graphs. We will present some of their properties and show that some characteristics of a group can be seen on its associated G-graph. We will establish a group isomorphism given a group isomorphism. We will also show that some existing graphs are G-graphs and provide a group associated with them. A relation between Cayley graphs and G-graphs is also introduced. Second, this paper will attempt to link group theory and G-graphs to consumer theory. Some of the classical axioms on consumer preferences will be relaxed and new concepts will be introduced. These new concepts along with group-theorerical methods and the concept of G-graphs will prove theorems on consumer preferences.
dc.identifier.urihttps://selib.upd.edu.ph/etdir/handle/123456789/4444
dc.language.isoen
dc.subjectGroup theory
dc.subjectGraph theory
dc.subjectG-graphs
dc.subjectConsumer theory
dc.subjectConsumer behavior
dc.titleGroups, g-graphs, and consumer theory
dc.typeThesis

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