{"id":359,"date":"2026-05-01T19:47:31","date_gmt":"2026-05-01T19:47:31","guid":{"rendered":"https:\/\/sites.cs.queensu.ca\/ocw2026\/?post_type=tribe_events&p=359"},"modified":"2026-05-04T17:42:34","modified_gmt":"2026-05-04T17:42:34","slug":"plenary-the-directed-oberwolfach-problem","status":"publish","type":"tribe_events","link":"https:\/\/sites.cs.queensu.ca\/ocw2026\/event\/plenary-the-directed-oberwolfach-problem\/","title":{"rendered":"Plenary: The Directed Oberwolfach Problem"},"content":{"rendered":"

The Oberwolfach Problem, originally posed by Ringel in 1967, asks whether n<\/code> people can be seated at round tables of sizes k1<\/sub>, …, kt<\/sub><\/code>, where k1<\/sub> + ⋯ + kt<\/sub>=n<\/code>, over successive nights in such a way that each person sits next to each other person exactly once. In other words, does the complete graph Kn<\/sub><\/code> admit a 2<\/code>-factorization in which each 2<\/code>-factor consists of cycles of lengths k1<\/sub>, …, kt<\/sub><\/code>? Over the course of the next six decades, many instances of the Oberwolfach Problem have been solved, including for uniform 2<\/code>-factors, 2<\/code>-factors containing exactly two components and bipartite 2<\/code>-factors. While an asymptotic existence result is known, a complete solution to the Oberwolfach problem remains elusive.<\/p>\n

The Oberwolfach Problem has also been extended to the directed case, where we seek to find a 2<\/code>-factorization of the complete symmetric digraph Kn<\/sub>*<\/sup><\/code>. Echoing some of the history of the original problem, instances for which the directed Oberwolfach Problem has been settled include uniform directed 2<\/code>-factors and directed 2<\/code>-factors with exactly two components.<\/p>\n

In this talk, we give an overview of the history of the Oberwolfach Problem and its directed variant. We then discuss a recent result which completely solves the directed Oberwolfach problem with bipartite 2<\/code>-factors when the order n<\/code> is congruent to 2<\/code> modulo 4<\/code>. This is joint work with Peter Danziger and Alice Lacaze-Masmonteil.<\/p>\n","protected":false},"excerpt":{"rendered":"

In this talk, we give an overview of the history of the Oberwolfach Problem and its directed variant. We then discuss a recent result which completely solves the directed Oberwolfach problem with bipartite 2<\/code>-factors when the order n<\/code> is congruent to 2<\/code> modulo 4<\/code>. This is joint work with Peter Danziger and Alice Lacaze-Masmonteil.<\/p>\n","protected":false},"author":2,"featured_media":0,"template":"","meta":{"_uag_custom_page_level_css":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[5],"class_list":["post-359","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-plenary-talk","cat_plenary-talk"],"spectra_custom_meta":{"_EventOrigin":["events-calendar"],"_edit_lock":["1777917373:2"],"_edit_last":["2"],"site-sidebar-layout":["default"],"ast-site-content-layout":["default"],"site-content-style":["default"],"site-sidebar-style":["default"],"theme-transparent-header-meta":["default"],"_EventShowMapLink":["1"],"_EventShowMap":["1"],"_EventStartDate":["2026-05-09 09:30:00"],"_EventEndDate":["2026-05-09 10:30:00"],"_EventStartDateUTC":["2026-05-09 09:30:00"],"_EventEndDateUTC":["2026-05-09 10:30:00"],"_EventDuration":["3600"],"_EventCurrencySymbol":["$"],"_EventCurrencyCode":["USD"],"_EventCurrencyPosition":["prefix"],"_EventCost":[""],"_EventURL":[""],"_EventTimezone":["UTC+0"],"_EventTimezoneAbbr":["UTC+0"],"_EventVenueID":["337"],"_wp_old_slug":["plenary-dr-andrea-burgess"],"_EventOrganizerID":["392"],"_tribe_modified_fields":["a:7:{s:16:\"_uag_page_assets\";i:1783908724;s:18:\"_uag_css_file_name\";i:1777917032;s:26:\"astra-migrate-meta-layouts\";i:1777916554;s:17:\"_EventShowMapLink\";i:1777916554;s:13:\"_EventShowMap\";i:1777916554;s:12:\"post_content\";i:1777904949;s:12:\"post_excerpt\";i:1777916554;}"],"astra-migrate-meta-layouts":["set"],"_uag_css_file_name":["uag-css-359.css"],"_uag_page_assets":["a:9:{s:3:\"css\";s:260:\".uag-blocks-common-selector{z-index:var(--z-index-desktop) !important}@media(max-width: 976px){.uag-blocks-common-selector{z-index:var(--z-index-tablet) !important}}@media(max-width: 767px){.uag-blocks-common-selector{z-index:var(--z-index-mobile) !important}}\";s:2:\"js\";s:0:\"\";s:18:\"current_block_list\";a:9:{i:0;s:11:\"core\/search\";i:1;s:10:\"core\/group\";i:2;s:12:\"core\/heading\";i:3;s:17:\"core\/latest-posts\";i:4;s:20:\"core\/latest-comments\";i:5;s:13:\"core\/archives\";i:6;s:15:\"core\/categories\";i:7;s:10:\"core\/image\";i:8;s:11:\"core\/spacer\";}s:8:\"uag_flag\";b:0;s:11:\"uag_version\";s:10:\"1783532082\";s:6:\"gfonts\";a:0:{}s:10:\"gfonts_url\";s:0:\"\";s:12:\"gfonts_files\";a:0:{}s:14:\"uag_faq_layout\";b:0;}"]},"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false},"uagb_author_info":{"display_name":"sjw3","author_link":"https:\/\/sites.cs.queensu.ca\/ocw2026\/author\/sjw3\/"},"uagb_comment_info":0,"uagb_excerpt":"In this talk, we give an overview of the history of the Oberwolfach Problem and its directed variant. We then discuss a recent result which completely solves the directed Oberwolfach problem with bipartite 2-factors when the order n is congruent to 2 modulo 4. This is joint work with Peter Danziger and Alice Lacaze-Masmonteil.","_links":{"self":[{"href":"https:\/\/sites.cs.queensu.ca\/ocw2026\/wp-json\/wp\/v2\/tribe_events\/359","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.cs.queensu.ca\/ocw2026\/wp-json\/wp\/v2\/tribe_events"}],"about":[{"href":"https:\/\/sites.cs.queensu.ca\/ocw2026\/wp-json\/wp\/v2\/types\/tribe_events"}],"author":[{"embeddable":true,"href":"https:\/\/sites.cs.queensu.ca\/ocw2026\/wp-json\/wp\/v2\/users\/2"}],"version-history":[{"count":14,"href":"https:\/\/sites.cs.queensu.ca\/ocw2026\/wp-json\/wp\/v2\/tribe_events\/359\/revisions"}],"predecessor-version":[{"id":520,"href":"https:\/\/sites.cs.queensu.ca\/ocw2026\/wp-json\/wp\/v2\/tribe_events\/359\/revisions\/520"}],"wp:attachment":[{"href":"https:\/\/sites.cs.queensu.ca\/ocw2026\/wp-json\/wp\/v2\/media?parent=359"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.cs.queensu.ca\/ocw2026\/wp-json\/wp\/v2\/tags?post=359"},{"taxonomy":"tribe_events_cat","embeddable":true,"href":"https:\/\/sites.cs.queensu.ca\/ocw2026\/wp-json\/wp\/v2\/tribe_events_cat?post=359"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}