{"id":3497,"date":"2024-09-06T11:27:29","date_gmt":"2024-09-06T18:27:29","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&p=3497"},"modified":"2024-11-18T11:27:28","modified_gmt":"2024-11-18T19:27:28","slug":"antc-talk-jason-oneill-cal-state-la","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/antc-talk-jason-oneill-cal-state-la\/","title":{"rendered":"Variations of oddtown and eventown (Jason O’Neill, Cal State LA)"},"content":{"rendered":"

The classical oddtown and eventown problems involve a collection of subsets of a finite set with an odd (resp. even) number of elements such that all pairwise intersections contain an even number of elements. In this talk, we will discuss these results as well as the following variants:<\/span><\/p>\n

    \n
  1. We consider set sizes and pairwise intersection restrictions given modulo m as opposed to even\/odd (mod 2).<\/li>\n
  2. We allow very \u201cfew\u201d pairwise intersections in collections of subsets.<\/li>\n
  3. We impose further conditions on 3-wise and 4-wise intersections of our collection of subsets.<\/li>\n<\/ol>\n

    Along the way, we will sprinkle in a few open problems.<\/p>\n","protected":false},"excerpt":{"rendered":"

    The classical oddtown and eventown problems involve a collection of subsets of a finite set with an odd (resp. even) number of elements such that all pairwise intersections contain an […]<\/p>\n","protected":false},"author":73,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","_tec_slr_enabled":"","_tec_slr_layout":""},"tags":[],"tribe_events_cat":[13],"class_list":["post-3497","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-antc-seminar","cat_antc-seminar"],"acf":[],"yoast_head":"\nVariations of oddtown and eventown (Jason O'Neill, Cal State LA) - 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