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Cyclic Flats of Gammoids Via Dual Representation
Mälardalen University, School of Education, Culture and Communication.
2022 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

Matorids provide useful abstraction in combinatorics and have a number of applications in many areas. Gammoids,  which is one of many classes of matroids, and they can be represented by directed graphs, which make them easy to visualize. Due to matroids being discovered quite a long time ago, there are a number of great papers and books to do research on. From results made by Albrecht Immanuel and others, it is made clear that by transforming a gammoid into its standard representation, the cyclic flats can be found via its dual representation. Based on his results, it is possible to find the cyclic flats of any gammoid by finding the dual.

Place, publisher, year, edition, pages
2022. , p. 15
Keywords [en]
Matroids, Gammoids, Cyclic flats, dual matroids
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-59002OAI: oai:DiVA.org:mdh-59002DiVA, id: diva2:1669038
Subject / course
Mathematics/Applied Mathematics
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Examiners
Available from: 2022-06-14 Created: 2022-06-14 Last updated: 2022-06-14Bibliographically approved

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Bachelor_Th(775 kB)68 downloads
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Citation style
  • apa
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  • de-DE
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  • en-US
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Output format
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