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PRODID:-//Discrete Mathematics Group - ECPv6.15.20//NONSGML v1.0//EN
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X-WR-CALNAME:Discrete Mathematics Group
X-ORIGINAL-URL:https://dimag.ibs.re.kr
X-WR-CALDESC:Events for Discrete Mathematics Group
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
TZOFFSETTO:+0900
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DTSTART:20240101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20250610T163000
DTEND;TZID=Asia/Seoul:20250610T173000
DTSTAMP:20260417T000236
CREATED:20250407T060939Z
LAST-MODIFIED:20250408T065935Z
UID:10754-1749573000-1749576600@dimag.ibs.re.kr
SUMMARY:On-Hei Solomon Lo\, Minors of non-hamiltonian graphs
DESCRIPTION:A seminal result of Tutte asserts that every 4-connected planar graph is hamiltonian. By Wagner’s theorem\, Tutte’s result can be restated as: every 4-connected graph with no $K_{3\,3}$ minor is hamiltonian. In 2018\, Ding and Marshall posed the problem of characterizing the minor-minimal 3-connected non-hamiltonian graphs. They conjectured that every 3-connected non-hamiltonian graph contains a minor of $K_{3\,4}$\, $\mathfrak{Q}^+$\, or the Herschel graph\, where $\mathfrak{Q}^+$ is obtained from the cube by adding a new vertex and connecting it to three vertices that share a common neighbor in the cube. We recently resolved this conjecture along with some related problems. In this talk\, we review the background and discuss the proof.
URL:https://dimag.ibs.re.kr/event/2025-06-10/
LOCATION:Room B332\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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