{"abstract":[{"text":"The extension of extremal combinatorics to the setting of exterior algebra is a work\r\nin 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.\r\n","lang":"eng"}],"publication_identifier":{"issn":["2791-4585"]},"supervisor":[{"full_name":"Wagner, Uli","first_name":"Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568","last_name":"Wagner"}],"language":[{"iso":"eng"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","has_accepted_license":"1","date_published":"2023-07-31T00:00:00Z","_id":"13331","type":"dissertation","date_created":"2023-07-31T10:20:55Z","file_date_updated":"2023-08-03T15:28:55Z","alternative_title":["ISTA Master's Thesis"],"year":"2023","status":"public","publication_status":"published","oa_version":"Published Version","oa":1,"ddc":["510","516"],"doi":"10.15479/at:ista:13331","page":"26","related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"12680"}]},"publisher":"Institute of Science and Technology Austria","author":[{"full_name":"Köse, Seyda","last_name":"Köse","id":"8ba3170d-dc85-11ea-9058-c4251c96a6eb","first_name":"Seyda"}],"day":"31","department":[{"_id":"GradSch"},{"_id":"UlWa"}],"date_updated":"2023-10-04T11:54:56Z","month":"07","degree_awarded":"MS","file":[{"creator":"skoese","file_id":"13333","relation":"source_file","file_name":"Exterior Algebra and Combinatorics.zip","access_level":"closed","content_type":"application/x-zip-compressed","date_updated":"2023-07-31T10:16:32Z","date_created":"2023-07-31T10:16:32Z","checksum":"96ee518d796d02af71395622c45de03c","file_size":28684},{"access_level":"open_access","file_name":"thesis-pdfa.pdf","relation":"main_file","file_id":"13480","creator":"skoese","file_size":4953418,"success":1,"checksum":"f610f4713f88bc477de576aaa46b114e","date_created":"2023-08-03T15:28:55Z","date_updated":"2023-08-03T15:28:55Z","content_type":"application/pdf"}],"article_processing_charge":"No","citation":{"ieee":"S. Köse, “Exterior algebra and combinatorics,” Institute of Science and Technology Austria, 2023.","mla":"Köse, Seyda. <i>Exterior Algebra and Combinatorics</i>. Institute of Science and Technology Austria, 2023, doi:<a href=\"https://doi.org/10.15479/at:ista:13331\">10.15479/at:ista:13331</a>.","ama":"Köse S. Exterior algebra and combinatorics. 2023. doi:<a href=\"https://doi.org/10.15479/at:ista:13331\">10.15479/at:ista:13331</a>","short":"S. Köse, Exterior Algebra and Combinatorics, Institute of Science and Technology Austria, 2023.","chicago":"Köse, Seyda. “Exterior Algebra and Combinatorics.” Institute of Science and Technology Austria, 2023. <a href=\"https://doi.org/10.15479/at:ista:13331\">https://doi.org/10.15479/at:ista:13331</a>.","ista":"Köse S. 2023. Exterior algebra and combinatorics. Institute of Science and Technology Austria.","apa":"Köse, S. (2023). <i>Exterior algebra and combinatorics</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:13331\">https://doi.org/10.15479/at:ista:13331</a>"},"title":"Exterior algebra and combinatorics"}