{"id":207338,"date":"2020-08-26T13:53:17","date_gmt":"2020-08-26T17:53:17","guid":{"rendered":"https:\/\/www.montclair.edu\/mathematics\/?p=207338"},"modified":"2020-08-26T13:53:17","modified_gmt":"2020-08-26T17:53:17","slug":"professor-and-former-student-publish-combinatorics-paper","status":"publish","type":"post","link":"https:\/\/www.montclair.edu\/mathematics\/2020\/08\/26\/professor-and-former-student-publish-combinatorics-paper\/","title":{"rendered":"Professor and Former Student Publish Combinatorics Paper"},"content":{"rendered":"<p dir=\"ltr\">The paper, titled <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.37236\/6207\" target=\"_blank\"><em>Homomorphisms into loop-threshold graphs<\/em><\/a>, establishes the significance of and give bounds on \u2113(m), the number of vertices in the lex component of the extremal graph with m edges and at least m + 1 vertices.<\/p>\n<p dir=\"ltr\">Since his time at MSU, Nick has successfully completed his Ph.D. and is now an instructor at University of Nebraska Omaha. Congratulations to Drs. Cutler and Kass!<\/p>\n<p dir=\"ltr\"><span class=\"prpl-button\"><a rel=\"noopener noreferrer\" href=\"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v27i2p38\/8095\" target=\"_blank\">Read the Article<span class=\"a11y-label\">, Homomorphisms into loop-threshold graphs<\/span><\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dr. Cutler and former MSU mathematics undergrad Nick Kass recently published a paper on combinatorics.<\/p>\n","protected":false},"author":34,"featured_media":207341,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[18,22],"tags":[],"class_list":["post-207338","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-research","category-students-and-alumni"],"_links":{"self":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts\/207338","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/comments?post=207338"}],"version-history":[{"count":4,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts\/207338\/revisions"}],"predecessor-version":[{"id":207343,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/posts\/207338\/revisions\/207343"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/media\/207341"}],"wp:attachment":[{"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/media?parent=207338"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/categories?post=207338"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.montclair.edu\/mathematics\/wp-json\/wp\/v2\/tags?post=207338"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}