Calculating and Preserving Star Sets and Star Complements of General Matrices

dc.contributor.advisorFallat, Shaun
dc.contributor.authorBergen, Ryan Paul
dc.contributor.committeememberMeagher, Karen
dc.contributor.externalexaminerHoeber, Orland
dc.date.accessioned2018-11-22T21:45:13Z
dc.date.available2018-11-22T21:45:13Z
dc.date.issued2017-08-18
dc.descriptionA Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematicss, University of Regina. v, 75 p.en_US
dc.description.abstractThis thesis presents several results relating to star sets and star complements of graphs. While a method for calculating star sets and star complements involving pro- jection matrices has been known since their introduction, a second method involving determinants is demonstrated and shown to be equivalent to the rst method. Some of the theory for star sets and star complements is expanded to general diagonalizable matrices, regardless of symmetry. The concept of preserving star sets between two general matrices is introduced and shown to be an equivalence relation, and attempts are made to classify what types of matrices can preserve the star sets of a general matrix. Finally, we determine some results for general matrices that occur when star set preservation overlaps with other equivalence relations.en_US
dc.description.authorstatusStudenten
dc.description.peerreviewyesen
dc.identifier.tcnumberTC-SRU-8447
dc.identifier.thesisurlhttps://ourspace.uregina.ca/bitstream/handle/10294/8447/BERGEN_Ryan_200360058_MSC_Mathematics_Spring2018.pdf
dc.identifier.urihttps://hdl.handle.net/10294/8447
dc.language.isoenen_US
dc.publisherFaculty of Graduate Studies and Research, University of Reginaen_US
dc.titleCalculating and Preserving Star Sets and Star Complements of General Matricesen_US
dc.typemaster thesisen
thesis.degree.departmentDepartment of Mathematics and Statisticsen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorFaculty of Graduate Studies and Research, University of Reginaen
thesis.degree.levelMaster'sen
thesis.degree.nameMaster of Science (MSc)en_US

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