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Feynman Diagrams and Map Enumeration
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2016 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

The goal of this thesis is to count how many graphs exist given a number of verticesor some other restrictions. The graphs are counted by perturbing Gaussian integralsand using the Wick lemma to interpret the perturbations in terms of graphs. Fatgraphs, a specific type of graph, are central in this thesis. A method based onorthogonal polynomials to count fat graphs is presented. The thesis finishes with theformulation and some results related to the three-color problem.

Place, publisher, year, edition, pages
2016. , 50 p.
Series
UPTEC F, ISSN 1401-5757 ; 16032
National Category
Other Physics Topics
Identifiers
URN: urn:nbn:se:uu:diva-298474OAI: oai:DiVA.org:uu-298474DiVA: diva2:946396
Educational program
Master Programme in Engineering Physics
Presentation
2016-06-15, 11167, Lägerhyddsvägen 1, Uppsala, 12:34 (Swedish)
Supervisors
Examiners
Available from: 2016-07-05 Created: 2016-07-05 Last updated: 2016-07-05Bibliographically approved

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Feynman Diagrams and Map Enumeration(794 kB)214 downloads
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