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dc.contributor.advisor Sittinger, Dr. Brian
dc.contributor.author Chen, Vickie V.
dc.date.accessioned 2018-12-10T18:53:34Z
dc.date.available 2018-12-10T18:53:34Z
dc.date.issued 2018-11
dc.identifier.uri http://hdl.handle.net/10211.3/207185
dc.description.abstract Recent progress has been made toward understanding the density that k integers are G-wise relatively prime as a limiting form of a uniform distribution motivate this work. Fix a positive integer k and let G be a simple graph with k vertices that are arbitrary integers. We say that these integers are G-wise relatively prime if for any pair of vertices joined by an edge, the corresponding integers are relatively prime. Observe that if G is a complete graph, then this reduces to the notion of integers being pairwise relatively prime. From this foundation, we can compute the density that k integers are G-wise relatively prime. The main objective of this thesis is to extend the notion of G-wise relative primality to rings of algebraic integers and to rings of polynomials over a finite field. en_US
dc.format.extent 65 en_US
dc.language.iso en_US en_US
dc.publisher California State University Channel Islands en_US
dc.subject Mathematics en_US
dc.subject Number theory en_US
dc.subject Graph theory en_US
dc.subject Abstract algebra en_US
dc.subject Probability en_US
dc.subject Mathematics thesis en_US
dc.title Graphwise Relatively Prime Densities en_US
dc.type Thesis en_US
dc.contributor.committeeMember Bañuelos, Dr. Selene
dc.contributor.committeeMember Flores, Dr. Cynthia
dc.contributor.committeeMember Özturgut, Dr. Osman

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