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A hypergraph is a mathematical way of representing a collection of objects and how those objects are connected. Hypergraphs can be used to model everything from predicting database failures to data analysis. This project is an investigation into a ‘lifting’ that allows one to construct r-uniform hypergraphs with certain properties by using r’-uniform hypergraphs with given properties where r > r’. We use this map in conjunction with well known linear algebraic techniques to prove new lower bounds for Ramsey numbers.<\/p>\n
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Algebraic Properties of a Hypergraph Lifting MapThomas MeekHometown:\u00a0Gastonia, NC Year in School:\u00a0Senior Major: Mathematics and Computer Science Project Abstract: A hypergraph is a mathematical way of representing a collection of objects and how those objects are connected. Hypergraphs can be used to model everything from predicting database failures to data analysis. This project is an […]<\/p>\n","protected":false},"author":1666,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"class_list":["post-9836","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/affiliate.wcu.edu\/surp-symposium\/wp-json\/wp\/v2\/pages\/9836","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/affiliate.wcu.edu\/surp-symposium\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/affiliate.wcu.edu\/surp-symposium\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/affiliate.wcu.edu\/surp-symposium\/wp-json\/wp\/v2\/users\/1666"}],"replies":[{"embeddable":true,"href":"https:\/\/affiliate.wcu.edu\/surp-symposium\/wp-json\/wp\/v2\/comments?post=9836"}],"version-history":[{"count":8,"href":"https:\/\/affiliate.wcu.edu\/surp-symposium\/wp-json\/wp\/v2\/pages\/9836\/revisions"}],"predecessor-version":[{"id":10038,"href":"https:\/\/affiliate.wcu.edu\/surp-symposium\/wp-json\/wp\/v2\/pages\/9836\/revisions\/10038"}],"wp:attachment":[{"href":"https:\/\/affiliate.wcu.edu\/surp-symposium\/wp-json\/wp\/v2\/media?parent=9836"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}