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