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{"id":453,"date":"2018-08-31T16:17:57","date_gmt":"2018-08-31T15:17:57","guid":{"rendered":"http:\/\/babarber.uk\/?p=453"},"modified":"2018-08-31T16:17:57","modified_gmt":"2018-08-31T15:17:57","slug":"minimalist-designs","status":"publish","type":"post","link":"https:\/\/babarber.uk\/453\/minimalist-designs\/","title":{"rendered":"Minimalist designs"},"content":{"rendered":"

Ben Barber, Stefan Glock, Daniela K\u00fchn, Allan Lo, Richard Montgomery, Deryk Osthus<\/a> Random Struct Alg<\/i>. 2020<\/span>; 57<\/span>: 47<\/span>\u2013 63<\/span>. https:\/\/doi.org\/10.1002\/rsa.20915<\/a><\/p>\n

In Edge decompositions of graphs with high minimum degree<\/a>,\u00a0Daniela K\u00fchn, Allan Lo, Deryk Osthus and I proved that the edge sets of sufficiently dense graphs satisfying necessary divisibility conditions could be partitioned into copies of an arbitrary graph \"F\".\u00a0 This result has since been generalised to other settings by various authors.\u00a0 In this paper we present a simplified account of the latest version of the argument, specialised to the case where \"F\" is a triangle.<\/p>\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Ben Barber, Stefan Glock, Daniela K\u00fchn, Allan Lo, Richard Montgomery, Deryk Osthus Random Struct Alg. 2020; 57: 47\u2013 63. https:\/\/doi.org\/10.1002\/rsa.20915 In Edge decompositions of graphs with high minimum degree,\u00a0Daniela K\u00fchn, Allan Lo, Deryk Osthus and I proved that the edge sets of sufficiently dense graphs satisfying necessary divisibility conditions could be partitioned into copies of … <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[3],"tags":[10,17],"_links":{"self":[{"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/posts\/453"}],"collection":[{"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/comments?post=453"}],"version-history":[{"count":0,"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/posts\/453\/revisions"}],"wp:attachment":[{"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/media?parent=453"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/categories?post=453"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/tags?post=453"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}