{"595514":{"#nid":"595514","#data":{"type":"event","title":"ARC Colloquium: Mike Molloy (Univ. of Toronto)","body":[{"value":"\u003Cp align = \u0022center\u0022\u003E\u003Cstrong\u003EAlgorithms \u0026amp; Randomness Center (ARC)\u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cp align = \u0022center\u0022\u003E\u003Cstrong\u003EMike Molloy (Univ. of Toronto)\u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cp align = \u0022center\u0022\u003E\u003Cstrong\u003EFriday, October 20, 2017\u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cp align = \u0022center\u0022\u003E\u003Cstrong\u003ESkiles 005 - 11:00 am\u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003ETitle:\u003C\/strong\u003E\u0026nbsp; \u003Ca href=\u0022https:\/\/arxiv.org\/abs\/1701.09133\u0022\u003EThe list chromatic number of graphs with small clique number\u003C\/a\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003EAbstract:\u0026nbsp; \u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003EWe prove that every triangle-free graph with maximum degree $\\D$ has list chromatic number at most $(1+o(1))\\frac{\\D}{\\ln \\D}$. This matches the best-known bound for graphs of girth at least 5.\u0026nbsp; We also provide a new proof\u0026nbsp;that for any $r\\geq4$ every $K_r$-free graph has list-chromatic number at most $200r\\frac{\\D\\ln\\ln\\D}{\\ln\\D}$.\u003C\/p\u003E\r\n\r\n\u003Cp\u003E--------------------------------------\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Ca href=\u0022http:\/\/www.cs.toronto.edu\/~molloy\/\u0022\u003ESpeaker\u0026#39;s Webpage\u003C\/a\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cem\u003EVideos of recent talks are available at: \u003Ca href=\u0022https:\/\/smartech.gatech.edu\/handle\/1853\/46836\u0022\u003Ehttps:\/\/smartech.gatech.edu\/handle\/1853\/46836\u003C\/a\u003E\u003C\/em\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cem\u003E\u003Ca href=\u0022https:\/\/mailman.cc.gatech.edu\/mailman\/listinfo\/arc-colloq\u0022\u003EClick here to subscribe to the seminar email list: arc-colloq@cc.gatech.edu \u003C\/a\u003E\u003C\/em\u003E\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":[{"value":"The list chromatic number of graphs with small clique number (Skiles 005 at 11:00 am)"}],"uid":"27544","created_gmt":"2017-09-05 19:39:37","changed_gmt":"2017-10-13 18:35:57","author":"Francella Tonge","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2017-10-20T12:00:00-04:00","event_time_end":"2017-10-20T13:00:00-04:00","event_time_end_last":"2017-10-20T13:00:00-04:00","gmt_time_start":"2017-10-20 16:00:00","gmt_time_end":"2017-10-20 17:00:00","gmt_time_end_last":"2017-10-20 17:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"70263","name":"ARC"}],"categories":[],"keywords":[],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1795","name":"Seminar\/Lecture\/Colloquium"}],"invited_audience":[{"id":"78761","name":"Faculty\/Staff"},{"id":"78771","name":"Public"},{"id":"174045","name":"Graduate students"},{"id":"78751","name":"Undergraduate students"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}