Low dimensional neighbourly polytopes

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dc.contributor.advisorBisztriczky, Ted
dc.contributor.authorFinbow-Singh, Wendy
dc.date.accessioned2005-08-19T20:43:52Z
dc.date.available2005-08-19T20:43:52Z
dc.date.issued2004
dc.descriptionBibliography: p. 127-128en
dc.description.abstractSemi-cyclic 4-polytopes were introduced in [12]. In Chapter 2, we present the results from this paper. In particular, a complete facial description of the semi-cyclic 4polytopes is given. The Gohberg-Markus-Hadwiger Covering Conjecture is verified for the corresponding class of dual semi-cyclic 4-polytopes. The neighbourly 5-polytopes with nine vertices are considered in Chapter 3. We show that there are at least one hundred, twenty-six neighbourly 5-polytopes with nine vertices. In particular, we show that there are exactly eight neighbourly 5polytopes with nine vertices and two universal vertices, there are exactly four neighbourly 5-polytopes with nine vertices, one universal vertex, and one cyclic vertex figure, there are at least twenty-nine neighbourly 5-polytopes with one universal vertex, and there are at least eighty-nine neighbourly 5-polytopes with no universal vertices. We give a complete combinatorial description of each polytope. The GohbergMarkus-Hadwiger Covering Conjecture is verified for the corresponding class of dual neighbourly 5-polytopes with nine vertices. In Chapter 4, the connection between the neighbourly 4-polytopes with eight vertices, the neighbourly 5-polytopes with nine vertices, and the neighbourly 6polytopes with ten vertices is examined.en
dc.format.extentix, 450 leaves : ill. ; 30 cm.en
dc.identifier.citationFinbow-Singh, W. (2004). Low dimensional neighbourly polytopes (Doctoral thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/17155en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/17155
dc.identifier.isbn0612935159en
dc.identifier.lccAC1 .T484 2004 F485en
dc.identifier.urihttp://hdl.handle.net/1880/42391
dc.language.isoeng
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.titleLow dimensional neighbourly polytopes
dc.typedoctoral thesis
thesis.degree.disciplineMathematics and Statistics
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameDoctor of Philosophy (PhD)
ucalgary.item.requestcopytrue
ucalgary.thesis.accessionTheses Collection 58.002:Box 1501 520492018
ucalgary.thesis.notesUARCen
ucalgary.thesis.uarcreleaseyen
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