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Simplices of f-vectors
Linköping University, Department of Mathematics.
2019 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesis
Abstract [en]

In this thesis the properties of the convex hulls of the sets of f-vectors of simplicial complexes on p vertices are investigated. The work is primarily constrained to the convex hulls of the sets of f-vectors of simplicial complexes of dimension at most 2 and 3. We study the functions which count the number of lattice points in these convex hulls and in their integral dilations. Also, the center of mass for these sets of f-vectors is studied. For the convex hulls of the sets of f-vectors with cardinality at most 3 we also investigate whether there is a compact rational function representing its f-vectors. Chapter 6 is devoted to researching whether there is any relationship between the number of f-vectors and the total number of lattice points in the convex hulls of the sets f-vectors with cardinality at most n.

Place, publisher, year, edition, pages
2019. , p. 75
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-159826ISRN: LiTH-MAT-EX–2019/05—SEOAI: oai:DiVA.org:liu-159826DiVA, id: diva2:1345061
Subject / course
Mathematics
Presentation
2019-06-14, Kompakta rummet, B building, Linköping University, Linköping, 10:15 (Swedish)
Supervisors
Examiners
Available from: 2019-08-23 Created: 2019-08-22 Last updated: 2019-09-05Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • de-DE
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  • nn-NB
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Output format
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