{"id":3884,"date":"2021-03-11T09:04:09","date_gmt":"2021-03-11T14:04:09","guid":{"rendered":"http:\/\/matroidunion.org\/?p=3884"},"modified":"2021-03-11T09:04:12","modified_gmt":"2021-03-11T14:04:12","slug":"online-talk-benjamin-moore","status":"publish","type":"post","link":"https:\/\/matroidunion.org\/?p=3884","title":{"rendered":"Online talk: Benjamin Moore"},"content":{"rendered":"\n<p><\/p>\n<p><strong>Monday, March 15,<\/strong> <strong>3pm ET<\/strong> (7pm GMT, 8am Tue NZDT)<br \/><a href=\"https:\/\/uwaterloo.ca\/combinatorics-and-optimization\/about\/people\/brmoore\"><strong>Benjamin Moore<\/strong><\/a>, University of Waterloo<br \/><strong>A density bound for triangle free 4-critical graphs<\/strong><\/p>\n<p> <\/p>\n<p><strong>Zoom:\u00a0<\/strong><a href=\"https:\/\/us02web.zoom.us\/j\/89998025625\">https:\/\/us02web.zoom.us\/j\/89998025625<\/a><br \/><strong>Password<\/strong>: email rose.mccarty ~at~ uwaterloo ~.~ ca if you need the password<\/p>\n<p> <\/p>\n<h5 class=\"wp-block-heading\"><strong>Abstract:<\/strong><\/h5>\n<p> <\/p>\n<p>Carsten Thomassen showed that every girth 5 graph embeddable in the torus or projective plane is 3-colourable. A complementary result of Robin Thomas and Barrett Walls shows that every girth 5 graph embedded in the Klein bottle is 3-colourable.<\/p>\n<p>I&#8217;ll show neither the embeddability condition nor the girth 5 condition is needed in the above theorems by showing that every triangle-free 4-critical graph has average degree slightly larger than 10\/3.<\/p>\n<p>This is joint work with Evelyne Smith Roberge.<\/p>\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Monday, March 15, 3pm ET (7pm GMT, 8am Tue NZDT)Benjamin Moore, University of WaterlooA density bound for triangle free 4-critical graphs Zoom:\u00a0https:\/\/us02web.zoom.us\/j\/89998025625Password: email rose.mccarty ~at~ uwaterloo ~.~ ca if you need the password Abstract: Carsten Thomassen showed that every girth &hellip; <a href=\"https:\/\/matroidunion.org\/?p=3884\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[11],"class_list":["post-3884","post","type-post","status-publish","format-standard","hentry","category-matroids","tag-online-talks"],"_links":{"self":[{"href":"https:\/\/matroidunion.org\/index.php?rest_route=\/wp\/v2\/posts\/3884","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/matroidunion.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/matroidunion.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/matroidunion.org\/index.php?rest_route=\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/matroidunion.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3884"}],"version-history":[{"count":1,"href":"https:\/\/matroidunion.org\/index.php?rest_route=\/wp\/v2\/posts\/3884\/revisions"}],"predecessor-version":[{"id":3885,"href":"https:\/\/matroidunion.org\/index.php?rest_route=\/wp\/v2\/posts\/3884\/revisions\/3885"}],"wp:attachment":[{"href":"https:\/\/matroidunion.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3884"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/matroidunion.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3884"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/matroidunion.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3884"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}