Exterior algebra and combinatorics
Köse S. 2023. Exterior algebra and combinatorics. Institute of Science and Technology Austria.
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Thesis
| MS
| Published
| English
Author
Supervisor
Corresponding author has ISTA affiliation
Department
Series Title
ISTA Master's Thesis
Abstract
The extension of extremal combinatorics to the setting of exterior algebra is a work
in progress that gained attention recently. In this thesis, we study the combinatorial structure of exterior algebra by introducing a dictionary that translates the notions from the set systems into the framework of exterior algebra. We show both generalizations of celebrated Erdös--Ko--Rado theorem and Hilton--Milner theorem to the setting of exterior algebra in the simplest non-trivial case of two-forms.
Publishing Year
Date Published
2023-07-31
Publisher
Institute of Science and Technology Austria
Page
26
ISSN
IST-REx-ID
Cite this
Köse S. Exterior algebra and combinatorics. 2023. doi:10.15479/at:ista:13331
Köse, S. (2023). Exterior algebra and combinatorics. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:13331
Köse, Seyda. “Exterior Algebra and Combinatorics.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:13331.
S. Köse, “Exterior algebra and combinatorics,” Institute of Science and Technology Austria, 2023.
Köse S. 2023. Exterior algebra and combinatorics. Institute of Science and Technology Austria.
Köse, Seyda. Exterior Algebra and Combinatorics. Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:13331.
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