Totally Separable Packings of Convex Domains

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dc.contributor.advisorBezdek, Károly
dc.contributor.authorOliwa, Michael
dc.contributor.committeememberZinchenko, Yuriy
dc.contributor.committeememberBates, Larry M.
dc.date2018-11
dc.date.accessioned2018-05-01T19:54:50Z
dc.date.available2018-05-01T19:54:50Z
dc.date.issued2018-04-30
dc.description.abstractTwo key combinatorial quantities that arise in the study of translative packings of convex bodies are the Hadwiger numbers and contact numbers. In this thesis, we will focus on computing these numbers for packings which are totally separable, particularly for two-dimensional bodies with smooth boundaries. The proofs require the use of various ideas from both combinatorics and analysis, such as minimum distance graphs, polyominoes, Birkhoff orthogonality, angular measures, and approximation via the Hausdorff metric.en_US
dc.identifier.citationOliwa, M. (2018). Totally Separable Packings of Convex Domains (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/31871en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/31871
dc.identifier.urihttp://hdl.handle.net/1880/106585
dc.language.isoeng
dc.publisher.facultyGraduate Studies
dc.publisher.facultyScience
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.subjectpacking
dc.subjecttotal separability
dc.subjectconvexity
dc.subjectorthogonality
dc.subjectangular measures
dc.subjectcrystallization
dc.subjectcontact numbers
dc.subjectkissing numbers
dc.subject.classificationMathematicsen_US
dc.titleTotally Separable Packings of Convex Domains
dc.typemaster thesis
thesis.degree.disciplineMathematics and Statistics
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameMaster of Science (MSc)
ucalgary.item.requestcopytrue
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