{"id":577,"date":"2026-05-04T19:23:47","date_gmt":"2026-05-04T19:23:47","guid":{"rendered":"https:\/\/sites.cs.queensu.ca\/ocw2026\/?post_type=tribe_events&p=577"},"modified":"2026-05-04T19:24:00","modified_gmt":"2026-05-04T19:24:00","slug":"on-the-generalized-honeymoon-oberwolfach-problem","status":"publish","type":"tribe_events","link":"https:\/\/sites.cs.queensu.ca\/ocw2026\/event\/on-the-generalized-honeymoon-oberwolfach-problem\/","title":{"rendered":"On the generalized honeymoon Oberwolfach problem"},"content":{"rendered":"

Masoomeh Akbari, University of Ottawa<\/strong><\/p>\n

The Honeymoon Oberwolfach Problem (HOP), introduced by \u0160ajna, is a recent variant of the classic Oberwolfach Problem. This problem asks whether it is possible to seat 2m1 + 2m2 + \u00b7 \u00b7 \u00b7 + 2mt = 2n participants, consisting of n newlywed couples, at t round tables of sizes 2m1, 2m2, . . . , 2mt for 2n \u2212 2 nights, so that each participant sits next to their spouse every night and next to every other participant exactly once. This problem is denoted by HOP(2m1, 2m2, . . . , 2mt). Jerade, Lepine, and Sajna have studied the HOP and resolved several important cases.<\/p>\n

We generalized the HOP by allowing tables of size two, relaxing the previous restriction that tables must have a minimum size of four. In the generalized HOP, we aim to seat the 2n participants at s tables of size 2 and t round tables of sizes 2m1, 2m2, . . . , 2mt, where 2n = 2s + 2m1 + 2m2 + \u00b7 \u00b7 \u00b7 + 2mt and mi \u2265 2, while preserving the adjacency conditions of the HOP. We denote this problem by HOP(2\u27e8s\u27e9, 2m1, . . . , 2mt).<\/p>\n

In this talk, we will present a general approach to this problem, as well as recent solutions to several cases.<\/p>\n","protected":false},"excerpt":{"rendered":"

Masoomeh Akbari, University of Ottawa The Honeymoon Oberwolfach Problem (HOP), introduced by \u0160ajna, is a recent variant of the classic Oberwolfach Problem. This problem asks whether it is possible to 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