BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Dave Morris (University of Lethbridge) DTSTART:20221024T180000Z DTEND:20221024T190000Z DTSTAMP:20260404T132231Z UID:NTC/8 DESCRIPTION:Title: On vertex-transitive graphs with a unique Hamiltonian circle\nby Da ve Morris (University of Lethbridge) as part of Lethbridge number theory a nd combinatorics seminar\n\nLecture held in University of Lethbridge: M104 0 (Markin Hall).\n\nAbstract\nWe will discuss graphs that have a unique Ha miltonian cycle and are vertex-transitive\, which means there is an automo rphism that takes any vertex to any other vertex. Cycles are the only exam ples with finitely many vertices\, but the situation is more interesting f or infinite graphs. (Infinite graphs do not have ``Hamiltonian cycles''\, but there are natural analogues.) The case where the graph has only finite ly many ends is not difficult\, but we do not know whether there are examp les with infinitely many ends. This is joint work in progress with Bobby M iraftab.\n LOCATION:https://stable.researchseminars.org/talk/NTC/8/ END:VEVENT END:VCALENDAR